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Finding the Fourth Proportional to 295,688.72, 408,049.80 and 161,552.72

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Solution

The fourth proportional to 295,688.72, 408,049.80 and 161,552.72 is: 222,942.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,688.72 : 408,049.80 = 161,552.72 : x
  2. Step 2: Convert to fraction form
    295,688.72/408,049.80 = 161,552.72/x
  3. Step 3: Cross multiply
    295,688.72x = 408,049.80 × 161,552.72
  4. Step 4: Simplify right side
    295,688.72x = 65,921,555,085.46
  5. Step 5: Solve for x
    x = 65,921,555,085.46/295,688.72
  6. Step 6: Final answer
    x = 222,942.41

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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.