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Finding the Fourth Proportional to 261,031.91, 360,224.01 and 147,854.66

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Solution

The fourth proportional to 261,031.91, 360,224.01 and 147,854.66 is: 204,039.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,031.91 : 360,224.01 = 147,854.66 : x
  2. Step 2: Convert to fraction form
    261,031.91/360,224.01 = 147,854.66/x
  3. Step 3: Cross multiply
    261,031.91x = 360,224.01 × 147,854.66
  4. Step 4: Simplify right side
    261,031.91x = 53,260,796,721.27
  5. Step 5: Solve for x
    x = 53,260,796,721.27/261,031.91
  6. Step 6: Final answer
    x = 204,039.41

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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.