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Finding the Fourth Proportional to 99,465.84, 137,262.78 and 54,753.84

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Solution

The fourth proportional to 99,465.84, 137,262.78 and 54,753.84 is: 75,560.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,465.84 : 137,262.78 = 54,753.84 : x
  2. Step 2: Convert to fraction form
    99,465.84/137,262.78 = 54,753.84/x
  3. Step 3: Cross multiply
    99,465.84x = 137,262.78 × 54,753.84
  4. Step 4: Simplify right side
    99,465.84x = 7,515,664,294.08
  5. Step 5: Solve for x
    x = 7,515,664,294.08/99,465.84
  6. Step 6: Final answer
    x = 75,560.26

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Why These Related Problems?

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