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Finding the Fourth Proportional to 204,663.47, 282,444.30 and 114,019.38

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Solution

The fourth proportional to 204,663.47, 282,444.30 and 114,019.38 is: 157,351.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,663.47 : 282,444.30 = 114,019.38 : x
  2. Step 2: Convert to fraction form
    204,663.47/282,444.30 = 114,019.38/x
  3. Step 3: Cross multiply
    204,663.47x = 282,444.30 × 114,019.38
  4. Step 4: Simplify right side
    204,663.47x = 32,204,123,970.53
  5. Step 5: Solve for x
    x = 32,204,123,970.53/204,663.47
  6. Step 6: Final answer
    x = 157,351.60

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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.