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Finding the Fourth Proportional to 127,076.76, 190,642.86 and 48,191.76

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Solution

The fourth proportional to 127,076.76, 190,642.86 and 48,191.76 is: 72,298.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,076.76 : 190,642.86 = 48,191.76 : x
  2. Step 2: Convert to fraction form
    127,076.76/190,642.86 = 48,191.76/x
  3. Step 3: Cross multiply
    127,076.76x = 190,642.86 × 48,191.76
  4. Step 4: Simplify right side
    127,076.76x = 9,187,414,954.83
  5. Step 5: Solve for x
    x = 9,187,414,954.83/127,076.76
  6. Step 6: Final answer
    x = 72,298.15

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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.