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Finding the Fourth Proportional to 144,021.60, 215,740.80 and 81,619.20

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Solution

The fourth proportional to 144,021.60, 215,740.80 and 81,619.20 is: 122,263.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,021.60 : 215,740.80 = 81,619.20 : x
  2. Step 2: Convert to fraction form
    144,021.60/215,740.80 = 81,619.20/x
  3. Step 3: Cross multiply
    144,021.60x = 215,740.80 × 81,619.20
  4. Step 4: Simplify right side
    144,021.60x = 17,608,591,503.36
  5. Step 5: Solve for x
    x = 17,608,591,503.36/144,021.60
  6. Step 6: Final answer
    x = 122,263.55

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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.