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Finding the Fourth Proportional to 122,107.60, 183,161.40 and 86,678.20

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Solution

The fourth proportional to 122,107.60, 183,161.40 and 86,678.20 is: 130,017.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,107.60 : 183,161.40 = 86,678.20 : x
  2. Step 2: Convert to fraction form
    122,107.60/183,161.40 = 86,678.20/x
  3. Step 3: Cross multiply
    122,107.60x = 183,161.40 × 86,678.20
  4. Step 4: Simplify right side
    122,107.60x = 15,876,100,461.48
  5. Step 5: Solve for x
    x = 15,876,100,461.48/122,107.60
  6. Step 6: Final answer
    x = 130,017.30

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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.