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Finding the Fourth Proportional to 223,974.60, 309,084.96 and 123,372.60

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Solution

The fourth proportional to 223,974.60, 309,084.96 and 123,372.60 is: 170,254.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,974.60 : 309,084.96 = 123,372.60 : x
  2. Step 2: Convert to fraction form
    223,974.60/309,084.96 = 123,372.60/x
  3. Step 3: Cross multiply
    223,974.60x = 309,084.96 × 123,372.60
  4. Step 4: Simplify right side
    223,974.60x = 38,132,615,136.10
  5. Step 5: Solve for x
    x = 38,132,615,136.10/223,974.60
  6. Step 6: Final answer
    x = 170,254.19

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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.