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Finding the Fourth Proportional to 275,342.06, 413,017.62 and 75,661.20

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Solution

The fourth proportional to 275,342.06, 413,017.62 and 75,661.20 is: 113,493.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,342.06 : 413,017.62 = 75,661.20 : x
  2. Step 2: Convert to fraction form
    275,342.06/413,017.62 = 75,661.20/x
  3. Step 3: Cross multiply
    275,342.06x = 413,017.62 × 75,661.20
  4. Step 4: Simplify right side
    275,342.06x = 31,249,408,750.34
  5. Step 5: Solve for x
    x = 31,249,408,750.34/275,342.06
  6. Step 6: Final answer
    x = 113,493.04

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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.