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Finding the Fourth Proportional to 123,569.80, 185,354.70 and 73,706.20

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Solution

The fourth proportional to 123,569.80, 185,354.70 and 73,706.20 is: 110,559.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,569.80 : 185,354.70 = 73,706.20 : x
  2. Step 2: Convert to fraction form
    123,569.80/185,354.70 = 73,706.20/x
  3. Step 3: Cross multiply
    123,569.80x = 185,354.70 × 73,706.20
  4. Step 4: Simplify right side
    123,569.80x = 13,661,790,589.14
  5. Step 5: Solve for x
    x = 13,661,790,589.14/123,569.80
  6. Step 6: Final answer
    x = 110,559.30

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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.