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Finding the Fourth Proportional to 259,909.29, 389,877.84 and 82,430.46

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Solution

The fourth proportional to 259,909.29, 389,877.84 and 82,430.46 is: 123,650.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,909.29 : 389,877.84 = 82,430.46 : x
  2. Step 2: Convert to fraction form
    259,909.29/389,877.84 = 82,430.46/x
  3. Step 3: Cross multiply
    259,909.29x = 389,877.84 × 82,430.46
  4. Step 4: Simplify right side
    259,909.29x = 32,137,809,695.01
  5. Step 5: Solve for x
    x = 32,137,809,695.01/259,909.29
  6. Step 6: Final answer
    x = 123,650.10

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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.