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Finding the Fourth Proportional to 224,338.86, 309,573.63 and 123,739.02

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Solution

The fourth proportional to 224,338.86, 309,573.63 and 123,739.02 is: 170,752.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,338.86 : 309,573.63 = 123,739.02 : x
  2. Step 2: Convert to fraction form
    224,338.86/309,573.63 = 123,739.02/x
  3. Step 3: Cross multiply
    224,338.86x = 309,573.63 × 123,739.02
  4. Step 4: Simplify right side
    224,338.86x = 38,306,337,594.04
  5. Step 5: Solve for x
    x = 38,306,337,594.04/224,338.86
  6. Step 6: Final answer
    x = 170,752.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.