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Finding the Fourth Proportional to 261,887.56, 361,395.24 and 160,083.52

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Solution

The fourth proportional to 261,887.56, 361,395.24 and 160,083.52 is: 220,909.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,887.56 : 361,395.24 = 160,083.52 : x
  2. Step 2: Convert to fraction form
    261,887.56/361,395.24 = 160,083.52/x
  3. Step 3: Cross multiply
    261,887.56x = 361,395.24 × 160,083.52
  4. Step 4: Simplify right side
    261,887.56x = 57,853,422,130.44
  5. Step 5: Solve for x
    x = 57,853,422,130.44/261,887.56
  6. Step 6: Final answer
    x = 220,909.39

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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.