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Finding the Fourth Proportional to 200,459.51, 300,369.41 and 146,903.30

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Solution

The fourth proportional to 200,459.51, 300,369.41 and 146,903.30 is: 220,120.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,459.51 : 300,369.41 = 146,903.30 : x
  2. Step 2: Convert to fraction form
    200,459.51/300,369.41 = 146,903.30/x
  3. Step 3: Cross multiply
    200,459.51x = 300,369.41 × 146,903.30
  4. Step 4: Simplify right side
    200,459.51x = 44,125,256,970.50
  5. Step 5: Solve for x
    x = 44,125,256,970.50/200,459.51
  6. Step 6: Final answer
    x = 220,120.55

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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.