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Finding the Fourth Proportional to 228,046.52, 314,704.62 and 127,444.52

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Solution

The fourth proportional to 228,046.52, 314,704.62 and 127,444.52 is: 175,873.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,046.52 : 314,704.62 = 127,444.52 : x
  2. Step 2: Convert to fraction form
    228,046.52/314,704.62 = 127,444.52/x
  3. Step 3: Cross multiply
    228,046.52x = 314,704.62 × 127,444.52
  4. Step 4: Simplify right side
    228,046.52x = 40,107,379,237.68
  5. Step 5: Solve for x
    x = 40,107,379,237.68/228,046.52
  6. Step 6: Final answer
    x = 175,873.67

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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.