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Finding the Fourth Proportional to 122,546.14, 169,114.35 and 68,831.17

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Solution

The fourth proportional to 122,546.14, 169,114.35 and 68,831.17 is: 94,987.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,546.14 : 169,114.35 = 68,831.17 : x
  2. Step 2: Convert to fraction form
    122,546.14/169,114.35 = 68,831.17/x
  3. Step 3: Cross multiply
    122,546.14x = 169,114.35 × 68,831.17
  4. Step 4: Simplify right side
    122,546.14x = 11,640,338,574.29
  5. Step 5: Solve for x
    x = 11,640,338,574.29/122,546.14
  6. Step 6: Final answer
    x = 94,987.39

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Why These Related Problems?

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