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Finding the Fourth Proportional to 99,834.71, 137,772.56 and 54,513

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Solution

The fourth proportional to 99,834.71, 137,772.56 and 54,513 is: 75,228.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,834.71 : 137,772.56 = 54,513 : x
  2. Step 2: Convert to fraction form
    99,834.71/137,772.56 = 54,513/x
  3. Step 3: Cross multiply
    99,834.71x = 137,772.56 × 54,513
  4. Step 4: Simplify right side
    99,834.71x = 7,510,395,290.72
  5. Step 5: Solve for x
    x = 7,510,395,290.72/99,834.71
  6. Step 6: Final answer
    x = 75,228.30

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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.