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Finding the Fourth Proportional to 224,066, 309,217.56 and 123,470.48

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Solution

The fourth proportional to 224,066, 309,217.56 and 123,470.48 is: 170,392.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,066 : 309,217.56 = 123,470.48 : x
  2. Step 2: Convert to fraction form
    224,066/309,217.56 = 123,470.48/x
  3. Step 3: Cross multiply
    224,066x = 309,217.56 × 123,470.48
  4. Step 4: Simplify right side
    224,066x = 38,179,240,557.63
  5. Step 5: Solve for x
    x = 38,179,240,557.63/224,066
  6. Step 6: Final answer
    x = 170,392.83

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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.