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Finding the Fourth Proportional to 169,197.78, 253,853.22 and 55,350.77

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Solution

The fourth proportional to 169,197.78, 253,853.22 and 55,350.77 is: 83,044.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,197.78 : 253,853.22 = 55,350.77 : x
  2. Step 2: Convert to fraction form
    169,197.78/253,853.22 = 55,350.77/x
  3. Step 3: Cross multiply
    169,197.78x = 253,853.22 × 55,350.77
  4. Step 4: Simplify right side
    169,197.78x = 14,050,969,924.71
  5. Step 5: Solve for x
    x = 14,050,969,924.71/169,197.78
  6. Step 6: Final answer
    x = 83,044.65

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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.