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Finding the Fourth Proportional to 127,831.65, 191,535.57 and 77,760.27

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Solution

The fourth proportional to 127,831.65, 191,535.57 and 77,760.27 is: 116,511.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,831.65 : 191,535.57 = 77,760.27 : x
  2. Step 2: Convert to fraction form
    127,831.65/191,535.57 = 77,760.27/x
  3. Step 3: Cross multiply
    127,831.65x = 191,535.57 × 77,760.27
  4. Step 4: Simplify right side
    127,831.65x = 14,893,857,637.80
  5. Step 5: Solve for x
    x = 14,893,857,637.80/127,831.65
  6. Step 6: Final answer
    x = 116,511.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.