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Finding the Fourth Proportional to 310,796.40, 466,148.40 and 86,133.40

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Solution

The fourth proportional to 310,796.40, 466,148.40 and 86,133.40 is: 129,187.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,796.40 : 466,148.40 = 86,133.40 : x
  2. Step 2: Convert to fraction form
    310,796.40/466,148.40 = 86,133.40/x
  3. Step 3: Cross multiply
    310,796.40x = 466,148.40 × 86,133.40
  4. Step 4: Simplify right side
    310,796.40x = 40,150,946,596.56
  5. Step 5: Solve for x
    x = 40,150,946,596.56/310,796.40
  6. Step 6: Final answer
    x = 129,187.30

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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.