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Finding the Fourth Proportional to 99,142.68, 148,713.31 and 24,263.90

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Solution

The fourth proportional to 99,142.68, 148,713.31 and 24,263.90 is: 36,395.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,142.68 : 148,713.31 = 24,263.90 : x
  2. Step 2: Convert to fraction form
    99,142.68/148,713.31 = 24,263.90/x
  3. Step 3: Cross multiply
    99,142.68x = 148,713.31 × 24,263.90
  4. Step 4: Simplify right side
    99,142.68x = 3,608,364,761.19
  5. Step 5: Solve for x
    x = 3,608,364,761.19/99,142.68
  6. Step 6: Final answer
    x = 36,395.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.