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Finding the Fourth Proportional to 103,439.90, 155,159.85 and 82,703.90

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Solution

The fourth proportional to 103,439.90, 155,159.85 and 82,703.90 is: 124,055.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,439.90 : 155,159.85 = 82,703.90 : x
  2. Step 2: Convert to fraction form
    103,439.90/155,159.85 = 82,703.90/x
  3. Step 3: Cross multiply
    103,439.90x = 155,159.85 × 82,703.90
  4. Step 4: Simplify right side
    103,439.90x = 12,832,324,718.42
  5. Step 5: Solve for x
    x = 12,832,324,718.42/103,439.90
  6. Step 6: Final answer
    x = 124,055.85

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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.