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Finding the Fourth Proportional to 127,308.68, 190,961.80 and 77,402.56

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Solution

The fourth proportional to 127,308.68, 190,961.80 and 77,402.56 is: 116,103.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,308.68 : 190,961.80 = 77,402.56 : x
  2. Step 2: Convert to fraction form
    127,308.68/190,961.80 = 77,402.56/x
  3. Step 3: Cross multiply
    127,308.68x = 190,961.80 × 77,402.56
  4. Step 4: Simplify right side
    127,308.68x = 14,780,932,182.21
  5. Step 5: Solve for x
    x = 14,780,932,182.21/127,308.68
  6. Step 6: Final answer
    x = 116,103.10

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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.