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Finding the Fourth Proportional to 169,546.32, 254,406.96 and 69,780.24

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Solution

The fourth proportional to 169,546.32, 254,406.96 and 69,780.24 is: 104,706.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,546.32 : 254,406.96 = 69,780.24 : x
  2. Step 2: Convert to fraction form
    169,546.32/254,406.96 = 69,780.24/x
  3. Step 3: Cross multiply
    169,546.32x = 254,406.96 × 69,780.24
  4. Step 4: Simplify right side
    169,546.32x = 17,752,578,726.47
  5. Step 5: Solve for x
    x = 17,752,578,726.47/169,546.32
  6. Step 6: Final answer
    x = 104,706.36

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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.