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Finding the Fourth Proportional to 123,282.60, 184,815.90 and 83,711.40

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Solution

The fourth proportional to 123,282.60, 184,815.90 and 83,711.40 is: 125,493.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,282.60 : 184,815.90 = 83,711.40 : x
  2. Step 2: Convert to fraction form
    123,282.60/184,815.90 = 83,711.40/x
  3. Step 3: Cross multiply
    123,282.60x = 184,815.90 × 83,711.40
  4. Step 4: Simplify right side
    123,282.60x = 15,471,197,731.26
  5. Step 5: Solve for x
    x = 15,471,197,731.26/123,282.60
  6. Step 6: Final answer
    x = 125,493.77

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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.