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Finding the Fourth Proportional to 261,094.56, 360,309.24 and 147,917.04

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Solution

The fourth proportional to 261,094.56, 360,309.24 and 147,917.04 is: 204,124.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,094.56 : 360,309.24 = 147,917.04 : x
  2. Step 2: Convert to fraction form
    261,094.56/360,309.24 = 147,917.04/x
  3. Step 3: Cross multiply
    261,094.56x = 360,309.24 × 147,917.04
  4. Step 4: Simplify right side
    261,094.56x = 53,295,876,265.45
  5. Step 5: Solve for x
    x = 53,295,876,265.45/261,094.56
  6. Step 6: Final answer
    x = 204,124.81

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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.