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Finding the Fourth Proportional to 228,049.52, 314,708.82 and 127,447.52

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Solution

The fourth proportional to 228,049.52, 314,708.82 and 127,447.52 is: 175,877.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,049.52 : 314,708.82 = 127,447.52 : x
  2. Step 2: Convert to fraction form
    228,049.52/314,708.82 = 127,447.52/x
  3. Step 3: Cross multiply
    228,049.52x = 314,708.82 × 127,447.52
  4. Step 4: Simplify right side
    228,049.52x = 40,108,858,631.13
  5. Step 5: Solve for x
    x = 40,108,858,631.13/228,049.52
  6. Step 6: Final answer
    x = 175,877.85

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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.