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Finding the Fourth Proportional to 295,689.72, 408,051.18 and 161,553.72

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Solution

The fourth proportional to 295,689.72, 408,051.18 and 161,553.72 is: 222,943.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,689.72 : 408,051.18 = 161,553.72 : x
  2. Step 2: Convert to fraction form
    295,689.72/408,051.18 = 161,553.72/x
  3. Step 3: Cross multiply
    295,689.72x = 408,051.18 × 161,553.72
  4. Step 4: Simplify right side
    295,689.72x = 65,922,186,079.39
  5. Step 5: Solve for x
    x = 65,922,186,079.39/295,689.72
  6. Step 6: Final answer
    x = 222,943.79

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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.