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Finding the Fourth Proportional to 127,927.80, 191,642.31 and 77,883.78

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Solution

The fourth proportional to 127,927.80, 191,642.31 and 77,883.78 is: 116,673.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,927.80 : 191,642.31 = 77,883.78 : x
  2. Step 2: Convert to fraction form
    127,927.80/191,642.31 = 77,883.78/x
  3. Step 3: Cross multiply
    127,927.80x = 191,642.31 × 77,883.78
  4. Step 4: Simplify right side
    127,927.80x = 14,925,827,510.73
  5. Step 5: Solve for x
    x = 14,925,827,510.73/127,927.80
  6. Step 6: Final answer
    x = 116,673.84

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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.