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Finding the Fourth Proportional to 142,104.92, 213,152.50 and 36,924.80

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Solution

The fourth proportional to 142,104.92, 213,152.50 and 36,924.80 is: 55,385.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,104.92 : 213,152.50 = 36,924.80 : x
  2. Step 2: Convert to fraction form
    142,104.92/213,152.50 = 36,924.80/x
  3. Step 3: Cross multiply
    142,104.92x = 213,152.50 × 36,924.80
  4. Step 4: Simplify right side
    142,104.92x = 7,870,613,432.00
  5. Step 5: Solve for x
    x = 7,870,613,432.00/142,104.92
  6. Step 6: Final answer
    x = 55,385.93

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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.