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Finding the Fourth Proportional to 99,822.75, 137,753.13 and 54,498.96

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Solution

The fourth proportional to 99,822.75, 137,753.13 and 54,498.96 is: 75,207.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,822.75 : 137,753.13 = 54,498.96 : x
  2. Step 2: Convert to fraction form
    99,822.75/137,753.13 = 54,498.96/x
  3. Step 3: Cross multiply
    99,822.75x = 137,753.13 × 54,498.96
  4. Step 4: Simplify right side
    99,822.75x = 7,507,402,321.74
  5. Step 5: Solve for x
    x = 7,507,402,321.74/99,822.75
  6. Step 6: Final answer
    x = 75,207.33

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1.5x scale

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.