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Finding the Fourth Proportional to 169,825.79, 254,853.24 and 69,983.77

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Solution

The fourth proportional to 169,825.79, 254,853.24 and 69,983.77 is: 105,022.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,825.79 : 254,853.24 = 69,983.77 : x
  2. Step 2: Convert to fraction form
    169,825.79/254,853.24 = 69,983.77/x
  3. Step 3: Cross multiply
    169,825.79x = 254,853.24 × 69,983.77
  4. Step 4: Simplify right side
    169,825.79x = 17,835,588,907.73
  5. Step 5: Solve for x
    x = 17,835,588,907.73/169,825.79
  6. Step 6: Final answer
    x = 105,022.86

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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.