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Finding the Fourth Proportional to 174,965.20, 262,447.80 and 172,049.20

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Solution

The fourth proportional to 174,965.20, 262,447.80 and 172,049.20 is: 258,073.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,965.20 : 262,447.80 = 172,049.20 : x
  2. Step 2: Convert to fraction form
    174,965.20/262,447.80 = 172,049.20/x
  3. Step 3: Cross multiply
    174,965.20x = 262,447.80 × 172,049.20
  4. Step 4: Simplify right side
    174,965.20x = 45,153,934,031.76
  5. Step 5: Solve for x
    x = 45,153,934,031.76/174,965.20
  6. Step 6: Final answer
    x = 258,073.80

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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.