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Finding the Fourth Proportional to 99,894.90, 137,854.46 and 54,575.48

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Solution

The fourth proportional to 99,894.90, 137,854.46 and 54,575.48 is: 75,313.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,894.90 : 137,854.46 = 54,575.48 : x
  2. Step 2: Convert to fraction form
    99,894.90/137,854.46 = 54,575.48/x
  3. Step 3: Cross multiply
    99,894.90x = 137,854.46 × 54,575.48
  4. Step 4: Simplify right side
    99,894.90x = 7,523,473,805.72
  5. Step 5: Solve for x
    x = 7,523,473,805.72/99,894.90
  6. Step 6: Final answer
    x = 75,313.89

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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.