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Finding the Fourth Proportional to 99,894, 137,857.68 and 57,452.48

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Solution

The fourth proportional to 99,894, 137,857.68 and 57,452.48 is: 79,286.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,894 : 137,857.68 = 57,452.48 : x
  2. Step 2: Convert to fraction form
    99,894/137,857.68 = 57,452.48/x
  3. Step 3: Cross multiply
    99,894x = 137,857.68 × 57,452.48
  4. Step 4: Simplify right side
    99,894x = 7,920,265,603.05
  5. Step 5: Solve for x
    x = 7,920,265,603.05/99,894
  6. Step 6: Final answer
    x = 79,286.70

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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.