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Finding the Fourth Proportional to 142,909.88, 214,373.79 and 48,132.32

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Solution

The fourth proportional to 142,909.88, 214,373.79 and 48,132.32 is: 72,201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,909.88 : 214,373.79 = 48,132.32 : x
  2. Step 2: Convert to fraction form
    142,909.88/214,373.79 = 48,132.32/x
  3. Step 3: Cross multiply
    142,909.88x = 214,373.79 × 48,132.32
  4. Step 4: Simplify right side
    142,909.88x = 10,318,306,788.02
  5. Step 5: Solve for x
    x = 10,318,306,788.02/142,909.88
  6. Step 6: Final answer
    x = 72,201.50

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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.