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Finding the Fourth Proportional to 99,877.68, 137,830.26 and 54,555.64

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Solution

The fourth proportional to 99,877.68, 137,830.26 and 54,555.64 is: 75,286.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,877.68 : 137,830.26 = 54,555.64 : x
  2. Step 2: Convert to fraction form
    99,877.68/137,830.26 = 54,555.64/x
  3. Step 3: Cross multiply
    99,877.68x = 137,830.26 × 54,555.64
  4. Step 4: Simplify right side
    99,877.68x = 7,519,418,045.67
  5. Step 5: Solve for x
    x = 7,519,418,045.67/99,877.68
  6. Step 6: Final answer
    x = 75,286.27

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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.