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Finding the Fourth Proportional to 224,116.24, 309,280.41 and 123,514.24

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Solution

The fourth proportional to 224,116.24, 309,280.41 and 123,514.24 is: 170,449.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,116.24 : 309,280.41 = 123,514.24 : x
  2. Step 2: Convert to fraction form
    224,116.24/309,280.41 = 123,514.24/x
  3. Step 3: Cross multiply
    224,116.24x = 309,280.41 × 123,514.24
  4. Step 4: Simplify right side
    224,116.24x = 38,200,534,788.04
  5. Step 5: Solve for x
    x = 38,200,534,788.04/224,116.24
  6. Step 6: Final answer
    x = 170,449.65

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