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Finding the Fourth Proportional to 295,897.50, 408,339.99 and 161,761.50

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Solution

The fourth proportional to 295,897.50, 408,339.99 and 161,761.50 is: 223,231.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,897.50 : 408,339.99 = 161,761.50 : x
  2. Step 2: Convert to fraction form
    295,897.50/408,339.99 = 161,761.50/x
  3. Step 3: Cross multiply
    295,897.50x = 408,339.99 × 161,761.50
  4. Step 4: Simplify right side
    295,897.50x = 66,053,689,292.39
  5. Step 5: Solve for x
    x = 66,053,689,292.39/295,897.50
  6. Step 6: Final answer
    x = 223,231.66

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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.