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Finding the Fourth Proportional to 109,008.70, 163,513.05 and 71,683.90

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Solution

The fourth proportional to 109,008.70, 163,513.05 and 71,683.90 is: 107,525.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,008.70 : 163,513.05 = 71,683.90 : x
  2. Step 2: Convert to fraction form
    109,008.70/163,513.05 = 71,683.90/x
  3. Step 3: Cross multiply
    109,008.70x = 163,513.05 × 71,683.90
  4. Step 4: Simplify right side
    109,008.70x = 11,721,253,124.90
  5. Step 5: Solve for x
    x = 11,721,253,124.90/109,008.70
  6. Step 6: Final answer
    x = 107,525.85

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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.