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Finding the Fourth Proportional to 122,708.25, 183,963.69 and 69,367.32

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Solution

The fourth proportional to 122,708.25, 183,963.69 and 69,367.32 is: 103,995.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,708.25 : 183,963.69 = 69,367.32 : x
  2. Step 2: Convert to fraction form
    122,708.25/183,963.69 = 69,367.32/x
  3. Step 3: Cross multiply
    122,708.25x = 183,963.69 × 69,367.32
  4. Step 4: Simplify right side
    122,708.25x = 12,761,068,152.61
  5. Step 5: Solve for x
    x = 12,761,068,152.61/122,708.25
  6. Step 6: Final answer
    x = 103,995.19

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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.