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Finding the Fourth Proportional to 295,672.50, 408,028.05 and 161,536.50

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Solution

The fourth proportional to 295,672.50, 408,028.05 and 161,536.50 is: 222,920.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,672.50 : 408,028.05 = 161,536.50 : x
  2. Step 2: Convert to fraction form
    295,672.50/408,028.05 = 161,536.50/x
  3. Step 3: Cross multiply
    295,672.50x = 408,028.05 × 161,536.50
  4. Step 4: Simplify right side
    295,672.50x = 65,911,423,098.83
  5. Step 5: Solve for x
    x = 65,911,423,098.83/295,672.50
  6. Step 6: Final answer
    x = 222,920.37

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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.