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Finding the Fourth Proportional to 261,941.52, 361,753.77 and 180,481.59

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Solution

The fourth proportional to 261,941.52, 361,753.77 and 180,481.59 is: 249,253.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,941.52 : 361,753.77 = 180,481.59 : x
  2. Step 2: Convert to fraction form
    261,941.52/361,753.77 = 180,481.59/x
  3. Step 3: Cross multiply
    261,941.52x = 361,753.77 × 180,481.59
  4. Step 4: Simplify right side
    261,941.52x = 65,289,895,598.09
  5. Step 5: Solve for x
    x = 65,289,895,598.09/261,941.52
  6. Step 6: Final answer
    x = 249,253.71

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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.