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Finding the Fourth Proportional to 137,358.81, 205,770.92 and 101,269.53

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Solution

The fourth proportional to 137,358.81, 205,770.92 and 101,269.53 is: 151,707.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,358.81 : 205,770.92 = 101,269.53 : x
  2. Step 2: Convert to fraction form
    137,358.81/205,770.92 = 101,269.53/x
  3. Step 3: Cross multiply
    137,358.81x = 205,770.92 × 101,269.53
  4. Step 4: Simplify right side
    137,358.81x = 20,838,323,849.72
  5. Step 5: Solve for x
    x = 20,838,323,849.72/137,358.81
  6. Step 6: Final answer
    x = 151,707.22

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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.