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Finding the Fourth Proportional to 138,829.38, 191,551.62 and 84,380.64

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Solution

The fourth proportional to 138,829.38, 191,551.62 and 84,380.64 is: 116,425.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,829.38 : 191,551.62 = 84,380.64 : x
  2. Step 2: Convert to fraction form
    138,829.38/191,551.62 = 84,380.64/x
  3. Step 3: Cross multiply
    138,829.38x = 191,551.62 × 84,380.64
  4. Step 4: Simplify right side
    138,829.38x = 16,163,248,288.64
  5. Step 5: Solve for x
    x = 16,163,248,288.64/138,829.38
  6. Step 6: Final answer
    x = 116,425.27

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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.