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Finding the Fourth Proportional to 100,338.90, 138,561.42 and 64,591.74

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Solution

The fourth proportional to 100,338.90, 138,561.42 and 64,591.74 is: 89,196.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,338.90 : 138,561.42 = 64,591.74 : x
  2. Step 2: Convert to fraction form
    100,338.90/138,561.42 = 64,591.74/x
  3. Step 3: Cross multiply
    100,338.90x = 138,561.42 × 64,591.74
  4. Step 4: Simplify right side
    100,338.90x = 8,949,923,214.67
  5. Step 5: Solve for x
    x = 8,949,923,214.67/100,338.90
  6. Step 6: Final answer
    x = 89,196.94

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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.