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Finding the Fourth Proportional to 127,767.48, 176,222.70 and 120,233.40

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Solution

The fourth proportional to 127,767.48, 176,222.70 and 120,233.40 is: 165,831.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,767.48 : 176,222.70 = 120,233.40 : x
  2. Step 2: Convert to fraction form
    127,767.48/176,222.70 = 120,233.40/x
  3. Step 3: Cross multiply
    127,767.48x = 176,222.70 × 120,233.40
  4. Step 4: Simplify right side
    127,767.48x = 21,187,854,378.18
  5. Step 5: Solve for x
    x = 21,187,854,378.18/127,767.48
  6. Step 6: Final answer
    x = 165,831.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.