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Finding the Fourth Proportional to 314,729.01, 472,181.12 and 137,251.65

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Solution

The fourth proportional to 314,729.01, 472,181.12 and 137,251.65 is: 205,915.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,729.01 : 472,181.12 = 137,251.65 : x
  2. Step 2: Convert to fraction form
    314,729.01/472,181.12 = 137,251.65/x
  3. Step 3: Cross multiply
    314,729.01x = 472,181.12 × 137,251.65
  4. Step 4: Simplify right side
    314,729.01x = 64,807,637,132.59
  5. Step 5: Solve for x
    x = 64,807,637,132.59/314,729.01
  6. Step 6: Final answer
    x = 205,915.68

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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.