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Finding the Fourth Proportional to 228,046.96, 314,704.02 and 127,444.96

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Solution

The fourth proportional to 228,046.96, 314,704.02 and 127,444.96 is: 175,873.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,046.96 : 314,704.02 = 127,444.96 : x
  2. Step 2: Convert to fraction form
    228,046.96/314,704.02 = 127,444.96/x
  3. Step 3: Cross multiply
    228,046.96x = 314,704.02 × 127,444.96
  4. Step 4: Simplify right side
    228,046.96x = 40,107,441,240.74
  5. Step 5: Solve for x
    x = 40,107,441,240.74/228,046.96
  6. Step 6: Final answer
    x = 175,873.61

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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.