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Finding the Fourth Proportional to 185,879.76, 278,830.20 and 52,749.48

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Solution

The fourth proportional to 185,879.76, 278,830.20 and 52,749.48 is: 79,127.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,879.76 : 278,830.20 = 52,749.48 : x
  2. Step 2: Convert to fraction form
    185,879.76/278,830.20 = 52,749.48/x
  3. Step 3: Cross multiply
    185,879.76x = 278,830.20 × 52,749.48
  4. Step 4: Simplify right side
    185,879.76x = 14,708,148,058.30
  5. Step 5: Solve for x
    x = 14,708,148,058.30/185,879.76
  6. Step 6: Final answer
    x = 79,127.22

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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.