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Finding the Fourth Proportional to 361,764.46, 542,572.80 and 137,047.42

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Solution

The fourth proportional to 361,764.46, 542,572.80 and 137,047.42 is: 205,543.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,764.46 : 542,572.80 = 137,047.42 : x
  2. Step 2: Convert to fraction form
    361,764.46/542,572.80 = 137,047.42/x
  3. Step 3: Cross multiply
    361,764.46x = 542,572.80 × 137,047.42
  4. Step 4: Simplify right side
    361,764.46x = 74,358,202,402.18
  5. Step 5: Solve for x
    x = 74,358,202,402.18/361,764.46
  6. Step 6: Final answer
    x = 205,543.14

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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.