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Finding the Fourth Proportional to 131,105.64, 180,925.86 and 74,517

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Solution

The fourth proportional to 131,105.64, 180,925.86 and 74,517 is: 102,833.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,105.64 : 180,925.86 = 74,517 : x
  2. Step 2: Convert to fraction form
    131,105.64/180,925.86 = 74,517/x
  3. Step 3: Cross multiply
    131,105.64x = 180,925.86 × 74,517
  4. Step 4: Simplify right side
    131,105.64x = 13,482,052,309.62
  5. Step 5: Solve for x
    x = 13,482,052,309.62/131,105.64
  6. Step 6: Final answer
    x = 102,833.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.