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Finding the Fourth Proportional to 83,135.60, 124,703.40 and 81,823.40

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Solution

The fourth proportional to 83,135.60, 124,703.40 and 81,823.40 is: 122,735.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,135.60 : 124,703.40 = 81,823.40 : x
  2. Step 2: Convert to fraction form
    83,135.60/124,703.40 = 81,823.40/x
  3. Step 3: Cross multiply
    83,135.60x = 124,703.40 × 81,823.40
  4. Step 4: Simplify right side
    83,135.60x = 10,203,656,179.56
  5. Step 5: Solve for x
    x = 10,203,656,179.56/83,135.60
  6. Step 6: Final answer
    x = 122,735.10

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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.