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Finding the Fourth Proportional to 102,338.76, 153,651.60 and 52,454.64

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Solution

The fourth proportional to 102,338.76, 153,651.60 and 52,454.64 is: 78,755.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,338.76 : 153,651.60 = 52,454.64 : x
  2. Step 2: Convert to fraction form
    102,338.76/153,651.60 = 52,454.64/x
  3. Step 3: Cross multiply
    102,338.76x = 153,651.60 × 52,454.64
  4. Step 4: Simplify right side
    102,338.76x = 8,059,739,363.42
  5. Step 5: Solve for x
    x = 8,059,739,363.42/102,338.76
  6. Step 6: Final answer
    x = 78,755.49

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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.