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Finding the Fourth Proportional to 116,306.50, 160,502.97 and 63,314.50

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Solution

The fourth proportional to 116,306.50, 160,502.97 and 63,314.50 is: 87,374.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,306.50 : 160,502.97 = 63,314.50 : x
  2. Step 2: Convert to fraction form
    116,306.50/160,502.97 = 63,314.50/x
  3. Step 3: Cross multiply
    116,306.50x = 160,502.97 × 63,314.50
  4. Step 4: Simplify right side
    116,306.50x = 10,162,165,294.07
  5. Step 5: Solve for x
    x = 10,162,165,294.07/116,306.50
  6. Step 6: Final answer
    x = 87,374.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.