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Finding the Fourth Proportional to 169,021.76, 253,168.16 and 159,084.92

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Solution

The fourth proportional to 169,021.76, 253,168.16 and 159,084.92 is: 238,284.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,021.76 : 253,168.16 = 159,084.92 : x
  2. Step 2: Convert to fraction form
    169,021.76/253,168.16 = 159,084.92/x
  3. Step 3: Cross multiply
    169,021.76x = 253,168.16 × 159,084.92
  4. Step 4: Simplify right side
    169,021.76x = 40,275,236,480.15
  5. Step 5: Solve for x
    x = 40,275,236,480.15/169,021.76
  6. Step 6: Final answer
    x = 238,284.33

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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.