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Finding the Fourth Proportional to 223,974.34, 309,084.62 and 123,372.34

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Solution

The fourth proportional to 223,974.34, 309,084.62 and 123,372.34 is: 170,253.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,974.34 : 309,084.62 = 123,372.34 : x
  2. Step 2: Convert to fraction form
    223,974.34/309,084.62 = 123,372.34/x
  3. Step 3: Cross multiply
    223,974.34x = 309,084.62 × 123,372.34
  4. Step 4: Simplify right side
    223,974.34x = 38,132,492,827.41
  5. Step 5: Solve for x
    x = 38,132,492,827.41/223,974.34
  6. Step 6: Final answer
    x = 170,253.85

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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.