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Finding the Fourth Proportional to 137,002.20, 205,503.30 and 48,355.80

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Solution

The fourth proportional to 137,002.20, 205,503.30 and 48,355.80 is: 72,533.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,002.20 : 205,503.30 = 48,355.80 : x
  2. Step 2: Convert to fraction form
    137,002.20/205,503.30 = 48,355.80/x
  3. Step 3: Cross multiply
    137,002.20x = 205,503.30 × 48,355.80
  4. Step 4: Simplify right side
    137,002.20x = 9,937,276,474.14
  5. Step 5: Solve for x
    x = 9,937,276,474.14/137,002.20
  6. Step 6: Final answer
    x = 72,533.70

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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.