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Finding the Fourth Proportional to 264,976.38, 365,648.58 and 144,115.20

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Solution

The fourth proportional to 264,976.38, 365,648.58 and 144,115.20 is: 198,868.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,976.38 : 365,648.58 = 144,115.20 : x
  2. Step 2: Convert to fraction form
    264,976.38/365,648.58 = 144,115.20/x
  3. Step 3: Cross multiply
    264,976.38x = 365,648.58 × 144,115.20
  4. Step 4: Simplify right side
    264,976.38x = 52,695,518,236.42
  5. Step 5: Solve for x
    x = 52,695,518,236.42/264,976.38
  6. Step 6: Final answer
    x = 198,868.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.