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Finding the Fourth Proportional to 229,878.27, 317,233.53 and 127,908

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Solution

The fourth proportional to 229,878.27, 317,233.53 and 127,908 is: 176,513.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,878.27 : 317,233.53 = 127,908 : x
  2. Step 2: Convert to fraction form
    229,878.27/317,233.53 = 127,908/x
  3. Step 3: Cross multiply
    229,878.27x = 317,233.53 × 127,908
  4. Step 4: Simplify right side
    229,878.27x = 40,576,706,355.24
  5. Step 5: Solve for x
    x = 40,576,706,355.24/229,878.27
  6. Step 6: Final answer
    x = 176,513.88

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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.