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Finding the Fourth Proportional to 167,953.77, 251,590.46 and 77,869.62

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Solution

The fourth proportional to 167,953.77, 251,590.46 and 77,869.62 is: 116,646.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,953.77 : 251,590.46 = 77,869.62 : x
  2. Step 2: Convert to fraction form
    167,953.77/251,590.46 = 77,869.62/x
  3. Step 3: Cross multiply
    167,953.77x = 251,590.46 × 77,869.62
  4. Step 4: Simplify right side
    167,953.77x = 19,591,253,126.48
  5. Step 5: Solve for x
    x = 19,591,253,126.48/167,953.77
  6. Step 6: Final answer
    x = 116,646.70

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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.