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Finding the Fourth Proportional to 122,706.60, 183,951.90 and 83,135.40

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Solution

The fourth proportional to 122,706.60, 183,951.90 and 83,135.40 is: 124,629.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,706.60 : 183,951.90 = 83,135.40 : x
  2. Step 2: Convert to fraction form
    122,706.60/183,951.90 = 83,135.40/x
  3. Step 3: Cross multiply
    122,706.60x = 183,951.90 × 83,135.40
  4. Step 4: Simplify right side
    122,706.60x = 15,292,914,787.26
  5. Step 5: Solve for x
    x = 15,292,914,787.26/122,706.60
  6. Step 6: Final answer
    x = 124,629.93

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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.