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Finding the Fourth Proportional to 511,083.72, 766,742.22 and 156,148.20

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Solution

The fourth proportional to 511,083.72, 766,742.22 and 156,148.20 is: 234,257.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,083.72 : 766,742.22 = 156,148.20 : x
  2. Step 2: Convert to fraction form
    511,083.72/766,742.22 = 156,148.20/x
  3. Step 3: Cross multiply
    511,083.72x = 766,742.22 × 156,148.20
  4. Step 4: Simplify right side
    511,083.72x = 119,725,417,517.00
  5. Step 5: Solve for x
    x = 119,725,417,517.00/511,083.72
  6. Step 6: Final answer
    x = 234,257.94

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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.