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Finding the Fourth Proportional to 142,121.35, 213,144.90 and 42,254.65

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Solution

The fourth proportional to 142,121.35, 213,144.90 and 42,254.65 is: 63,370.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,121.35 : 213,144.90 = 42,254.65 : x
  2. Step 2: Convert to fraction form
    142,121.35/213,144.90 = 42,254.65/x
  3. Step 3: Cross multiply
    142,121.35x = 213,144.90 × 42,254.65
  4. Step 4: Simplify right side
    142,121.35x = 9,006,363,148.79
  5. Step 5: Solve for x
    x = 9,006,363,148.79/142,121.35
  6. Step 6: Final answer
    x = 63,370.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.