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Finding the Fourth Proportional to 185,876.76, 278,825.70 and 52,746.48

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Solution

The fourth proportional to 185,876.76, 278,825.70 and 52,746.48 is: 79,122.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,876.76 : 278,825.70 = 52,746.48 : x
  2. Step 2: Convert to fraction form
    185,876.76/278,825.70 = 52,746.48/x
  3. Step 3: Cross multiply
    185,876.76x = 278,825.70 × 52,746.48
  4. Step 4: Simplify right side
    185,876.76x = 14,707,074,208.54
  5. Step 5: Solve for x
    x = 14,707,074,208.54/185,876.76
  6. Step 6: Final answer
    x = 79,122.72

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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.