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Finding the Fourth Proportional to 258,540.30, 387,810.45 and 71,551.80

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Solution

The fourth proportional to 258,540.30, 387,810.45 and 71,551.80 is: 107,327.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,540.30 : 387,810.45 = 71,551.80 : x
  2. Step 2: Convert to fraction form
    258,540.30/387,810.45 = 71,551.80/x
  3. Step 3: Cross multiply
    258,540.30x = 387,810.45 × 71,551.80
  4. Step 4: Simplify right side
    258,540.30x = 27,748,535,756.31
  5. Step 5: Solve for x
    x = 27,748,535,756.31/258,540.30
  6. Step 6: Final answer
    x = 107,327.70

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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.