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Finding the Fourth Proportional to 356,132.96, 534,116.52 and 166,724

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Solution

The fourth proportional to 356,132.96, 534,116.52 and 166,724 is: 250,047.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,132.96 : 534,116.52 = 166,724 : x
  2. Step 2: Convert to fraction form
    356,132.96/534,116.52 = 166,724/x
  3. Step 3: Cross multiply
    356,132.96x = 534,116.52 × 166,724
  4. Step 4: Simplify right side
    356,132.96x = 89,050,042,680.48
  5. Step 5: Solve for x
    x = 89,050,042,680.48/356,132.96
  6. Step 6: Final answer
    x = 250,047.18

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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.