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Finding the Fourth Proportional to 204,713.84, 307,008.80 and 71,569.28

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Solution

The fourth proportional to 204,713.84, 307,008.80 and 71,569.28 is: 107,332.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,713.84 : 307,008.80 = 71,569.28 : x
  2. Step 2: Convert to fraction form
    204,713.84/307,008.80 = 71,569.28/x
  3. Step 3: Cross multiply
    204,713.84x = 307,008.80 × 71,569.28
  4. Step 4: Simplify right side
    204,713.84x = 21,972,398,769.66
  5. Step 5: Solve for x
    x = 21,972,398,769.66/204,713.84
  6. Step 6: Final answer
    x = 107,332.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.