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Finding the Fourth Proportional to 99,820.63, 137,814.65 and 63,542.55

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Solution

The fourth proportional to 99,820.63, 137,814.65 and 63,542.55 is: 87,728.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,820.63 : 137,814.65 = 63,542.55 : x
  2. Step 2: Convert to fraction form
    99,820.63/137,814.65 = 63,542.55/x
  3. Step 3: Cross multiply
    99,820.63x = 137,814.65 × 63,542.55
  4. Step 4: Simplify right side
    99,820.63x = 8,757,094,725.73
  5. Step 5: Solve for x
    x = 8,757,094,725.73/99,820.63
  6. Step 6: Final answer
    x = 87,728.30

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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.