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Finding the Fourth Proportional to 511,195.92, 766,931.94 and 156,200.22

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Solution

The fourth proportional to 511,195.92, 766,931.94 and 156,200.22 is: 234,342.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,195.92 : 766,931.94 = 156,200.22 : x
  2. Step 2: Convert to fraction form
    511,195.92/766,931.94 = 156,200.22/x
  3. Step 3: Cross multiply
    511,195.92x = 766,931.94 × 156,200.22
  4. Step 4: Simplify right side
    511,195.92x = 119,794,937,753.03
  5. Step 5: Solve for x
    x = 119,794,937,753.03/511,195.92
  6. Step 6: Final answer
    x = 234,342.52

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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.