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Finding the Fourth Proportional to 137,105.60, 205,657.99 and 48,337.70

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Solution

The fourth proportional to 137,105.60, 205,657.99 and 48,337.70 is: 72,506.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,105.60 : 205,657.99 = 48,337.70 : x
  2. Step 2: Convert to fraction form
    137,105.60/205,657.99 = 48,337.70/x
  3. Step 3: Cross multiply
    137,105.60x = 205,657.99 × 48,337.70
  4. Step 4: Simplify right side
    137,105.60x = 9,941,033,074.09
  5. Step 5: Solve for x
    x = 9,941,033,074.09/137,105.60
  6. Step 6: Final answer
    x = 72,506.40

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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.