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Finding the Fourth Proportional to 259,705.20, 389,269.80 and 101,881.20

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Solution

The fourth proportional to 259,705.20, 389,269.80 and 101,881.20 is: 152,708.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,705.20 : 389,269.80 = 101,881.20 : x
  2. Step 2: Convert to fraction form
    259,705.20/389,269.80 = 101,881.20/x
  3. Step 3: Cross multiply
    259,705.20x = 389,269.80 × 101,881.20
  4. Step 4: Simplify right side
    259,705.20x = 39,659,274,347.76
  5. Step 5: Solve for x
    x = 39,659,274,347.76/259,705.20
  6. Step 6: Final answer
    x = 152,708.82

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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.