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Finding the Fourth Proportional to 231,707.70, 347,302.35 and 98,565.30

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Solution

The fourth proportional to 231,707.70, 347,302.35 and 98,565.30 is: 147,737.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,707.70 : 347,302.35 = 98,565.30 : x
  2. Step 2: Convert to fraction form
    231,707.70/347,302.35 = 98,565.30/x
  3. Step 3: Cross multiply
    231,707.70x = 347,302.35 × 98,565.30
  4. Step 4: Simplify right side
    231,707.70x = 34,231,960,318.46
  5. Step 5: Solve for x
    x = 34,231,960,318.46/231,707.70
  6. Step 6: Final answer
    x = 147,737.69

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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.