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Finding the Fourth Proportional to 185,951.70, 278,925.09 and 45,711.54

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Solution

The fourth proportional to 185,951.70, 278,925.09 and 45,711.54 is: 68,566.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,951.70 : 278,925.09 = 45,711.54 : x
  2. Step 2: Convert to fraction form
    185,951.70/278,925.09 = 45,711.54/x
  3. Step 3: Cross multiply
    185,951.70x = 278,925.09 × 45,711.54
  4. Step 4: Simplify right side
    185,951.70x = 12,750,095,408.54
  5. Step 5: Solve for x
    x = 12,750,095,408.54/185,951.70
  6. Step 6: Final answer
    x = 68,566.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.