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Finding the Fourth Proportional to 254,695.60, 382,216.20 and 165,732.40

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Solution

The fourth proportional to 254,695.60, 382,216.20 and 165,732.40 is: 248,711.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,695.60 : 382,216.20 = 165,732.40 : x
  2. Step 2: Convert to fraction form
    254,695.60/382,216.20 = 165,732.40/x
  3. Step 3: Cross multiply
    254,695.60x = 382,216.20 × 165,732.40
  4. Step 4: Simplify right side
    254,695.60x = 63,345,608,144.88
  5. Step 5: Solve for x
    x = 63,345,608,144.88/254,695.60
  6. Step 6: Final answer
    x = 248,711.04

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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.