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Finding the Fourth Proportional to 228,285.44, 315,016.80 and 127,664

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Solution

The fourth proportional to 228,285.44, 315,016.80 and 127,664 is: 176,166.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,285.44 : 315,016.80 = 127,664 : x
  2. Step 2: Convert to fraction form
    228,285.44/315,016.80 = 127,664/x
  3. Step 3: Cross multiply
    228,285.44x = 315,016.80 × 127,664
  4. Step 4: Simplify right side
    228,285.44x = 40,216,304,755.20
  5. Step 5: Solve for x
    x = 40,216,304,755.20/228,285.44
  6. Step 6: Final answer
    x = 176,166.75

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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.