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Finding the Fourth Proportional to 259,909.14, 389,877.48 and 82,430.04

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Solution

The fourth proportional to 259,909.14, 389,877.48 and 82,430.04 is: 123,649.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,909.14 : 389,877.48 = 82,430.04 : x
  2. Step 2: Convert to fraction form
    259,909.14/389,877.48 = 82,430.04/x
  3. Step 3: Cross multiply
    259,909.14x = 389,877.48 × 82,430.04
  4. Step 4: Simplify right side
    259,909.14x = 32,137,616,271.50
  5. Step 5: Solve for x
    x = 32,137,616,271.50/259,909.14
  6. Step 6: Final answer
    x = 123,649.43

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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.