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Finding the Fourth Proportional to 310,495.70, 465,743.55 and 100,133.64

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Solution

The fourth proportional to 310,495.70, 465,743.55 and 100,133.64 is: 150,200.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,495.70 : 465,743.55 = 100,133.64 : x
  2. Step 2: Convert to fraction form
    310,495.70/465,743.55 = 100,133.64/x
  3. Step 3: Cross multiply
    310,495.70x = 465,743.55 × 100,133.64
  4. Step 4: Simplify right side
    310,495.70x = 46,636,596,968.02
  5. Step 5: Solve for x
    x = 46,636,596,968.02/310,495.70
  6. Step 6: Final answer
    x = 150,200.46

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.