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Finding the Fourth Proportional to 123,886.80, 185,830.02 and 35,141.04

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Solution

The fourth proportional to 123,886.80, 185,830.02 and 35,141.04 is: 52,711.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,886.80 : 185,830.02 = 35,141.04 : x
  2. Step 2: Convert to fraction form
    123,886.80/185,830.02 = 35,141.04/x
  3. Step 3: Cross multiply
    123,886.80x = 185,830.02 × 35,141.04
  4. Step 4: Simplify right side
    123,886.80x = 6,530,260,166.02
  5. Step 5: Solve for x
    x = 6,530,260,166.02/123,886.80
  6. Step 6: Final answer
    x = 52,711.51

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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.