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Finding the Fourth Proportional to 127,697.60, 191,632.80 and 57,540.80

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Solution

The fourth proportional to 127,697.60, 191,632.80 and 57,540.80 is: 86,350.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,697.60 : 191,632.80 = 57,540.80 : x
  2. Step 2: Convert to fraction form
    127,697.60/191,632.80 = 57,540.80/x
  3. Step 3: Cross multiply
    127,697.60x = 191,632.80 × 57,540.80
  4. Step 4: Simplify right side
    127,697.60x = 11,026,704,618.24
  5. Step 5: Solve for x
    x = 11,026,704,618.24/127,697.60
  6. Step 6: Final answer
    x = 86,350.13

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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.