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Finding the Fourth Proportional to 123,475.61, 185,194.11 and 39,224.70

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Solution

The fourth proportional to 123,475.61, 185,194.11 and 39,224.70 is: 58,830.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,475.61 : 185,194.11 = 39,224.70 : x
  2. Step 2: Convert to fraction form
    123,475.61/185,194.11 = 39,224.70/x
  3. Step 3: Cross multiply
    123,475.61x = 185,194.11 × 39,224.70
  4. Step 4: Simplify right side
    123,475.61x = 7,264,183,406.52
  5. Step 5: Solve for x
    x = 7,264,183,406.52/123,475.61
  6. Step 6: Final answer
    x = 58,830.92

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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.