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Finding the Fourth Proportional to 224,512.16, 309,824.80 and 123,908

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Solution

The fourth proportional to 224,512.16, 309,824.80 and 123,908 is: 170,991.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,512.16 : 309,824.80 = 123,908 : x
  2. Step 2: Convert to fraction form
    224,512.16/309,824.80 = 123,908/x
  3. Step 3: Cross multiply
    224,512.16x = 309,824.80 × 123,908
  4. Step 4: Simplify right side
    224,512.16x = 38,389,771,318.40
  5. Step 5: Solve for x
    x = 38,389,771,318.40/224,512.16
  6. Step 6: Final answer
    x = 170,991.95

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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.