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Finding the Fourth Proportional to 99,884.90, 137,838.89 and 54,563.08

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Solution

The fourth proportional to 99,884.90, 137,838.89 and 54,563.08 is: 75,295.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,884.90 : 137,838.89 = 54,563.08 : x
  2. Step 2: Convert to fraction form
    99,884.90/137,838.89 = 54,563.08/x
  3. Step 3: Cross multiply
    99,884.90x = 137,838.89 × 54,563.08
  4. Step 4: Simplify right side
    99,884.90x = 7,520,914,245.77
  5. Step 5: Solve for x
    x = 7,520,914,245.77/99,884.90
  6. Step 6: Final answer
    x = 75,295.81

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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.