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Finding the Fourth Proportional to 128,722.70, 177,637.38 and 78,421.70

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Solution

The fourth proportional to 128,722.70, 177,637.38 and 78,421.70 is: 108,221.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,722.70 : 177,637.38 = 78,421.70 : x
  2. Step 2: Convert to fraction form
    128,722.70/177,637.38 = 78,421.70/x
  3. Step 3: Cross multiply
    128,722.70x = 177,637.38 × 78,421.70
  4. Step 4: Simplify right side
    128,722.70x = 13,930,625,323.15
  5. Step 5: Solve for x
    x = 13,930,625,323.15/128,722.70
  6. Step 6: Final answer
    x = 108,221.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.