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Finding the Fourth Proportional to 170,149.24, 255,223.86 and 45,487

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Solution

The fourth proportional to 170,149.24, 255,223.86 and 45,487 is: 68,230.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,149.24 : 255,223.86 = 45,487 : x
  2. Step 2: Convert to fraction form
    170,149.24/255,223.86 = 45,487/x
  3. Step 3: Cross multiply
    170,149.24x = 255,223.86 × 45,487
  4. Step 4: Simplify right side
    170,149.24x = 11,609,367,719.82
  5. Step 5: Solve for x
    x = 11,609,367,719.82/170,149.24
  6. Step 6: Final answer
    x = 68,230.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.