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Finding the Fourth Proportional to 261,604.28, 361,003.02 and 148,433.24

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Solution

The fourth proportional to 261,604.28, 361,003.02 and 148,433.24 is: 204,831.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,604.28 : 361,003.02 = 148,433.24 : x
  2. Step 2: Convert to fraction form
    261,604.28/361,003.02 = 148,433.24/x
  3. Step 3: Cross multiply
    261,604.28x = 361,003.02 × 148,433.24
  4. Step 4: Simplify right side
    261,604.28x = 53,584,847,908.38
  5. Step 5: Solve for x
    x = 53,584,847,908.38/261,604.28
  6. Step 6: Final answer
    x = 204,831.69

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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.