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Finding the Fourth Proportional to 142,876.35, 214,314.53 and 48,098.61

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Solution

The fourth proportional to 142,876.35, 214,314.53 and 48,098.61 is: 72,147.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,876.35 : 214,314.53 = 48,098.61 : x
  2. Step 2: Convert to fraction form
    142,876.35/214,314.53 = 48,098.61/x
  3. Step 3: Cross multiply
    142,876.35x = 214,314.53 × 48,098.61
  4. Step 4: Simplify right side
    142,876.35x = 10,308,230,460.02
  5. Step 5: Solve for x
    x = 10,308,230,460.02/142,876.35
  6. Step 6: Final answer
    x = 72,147.91

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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.