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Finding the Fourth Proportional to 136,669.60, 205,004.40 and 83,447.20

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Solution

The fourth proportional to 136,669.60, 205,004.40 and 83,447.20 is: 125,170.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,669.60 : 205,004.40 = 83,447.20 : x
  2. Step 2: Convert to fraction form
    136,669.60/205,004.40 = 83,447.20/x
  3. Step 3: Cross multiply
    136,669.60x = 205,004.40 × 83,447.20
  4. Step 4: Simplify right side
    136,669.60x = 17,107,043,167.68
  5. Step 5: Solve for x
    x = 17,107,043,167.68/136,669.60
  6. Step 6: Final answer
    x = 125,170.80

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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.