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Finding the Fourth Proportional to 204,848.28, 282,691.80 and 114,210

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Solution

The fourth proportional to 204,848.28, 282,691.80 and 114,210 is: 157,610.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,848.28 : 282,691.80 = 114,210 : x
  2. Step 2: Convert to fraction form
    204,848.28/282,691.80 = 114,210/x
  3. Step 3: Cross multiply
    204,848.28x = 282,691.80 × 114,210
  4. Step 4: Simplify right side
    204,848.28x = 32,286,230,478
  5. Step 5: Solve for x
    x = 32,286,230,478/204,848.28
  6. Step 6: Final answer
    x = 157,610.45

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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.