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Finding the Fourth Proportional to 107,098.70, 160,538.70 and 62,702.60

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Solution

The fourth proportional to 107,098.70, 160,538.70 and 62,702.60 is: 93,989.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,098.70 : 160,538.70 = 62,702.60 : x
  2. Step 2: Convert to fraction form
    107,098.70/160,538.70 = 62,702.60/x
  3. Step 3: Cross multiply
    107,098.70x = 160,538.70 × 62,702.60
  4. Step 4: Simplify right side
    107,098.70x = 10,066,193,890.62
  5. Step 5: Solve for x
    x = 10,066,193,890.62/107,098.70
  6. Step 6: Final answer
    x = 93,989.88

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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.