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Finding the Fourth Proportional to 261,794.42, 361,250.78 and 147,047.07

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Solution

The fourth proportional to 261,794.42, 361,250.78 and 147,047.07 is: 202,910.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,794.42 : 361,250.78 = 147,047.07 : x
  2. Step 2: Convert to fraction form
    261,794.42/361,250.78 = 147,047.07/x
  3. Step 3: Cross multiply
    261,794.42x = 361,250.78 × 147,047.07
  4. Step 4: Simplify right side
    261,794.42x = 53,120,868,734.21
  5. Step 5: Solve for x
    x = 53,120,868,734.21/261,794.42
  6. Step 6: Final answer
    x = 202,910.62

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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.