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Finding the Fourth Proportional to 169,681.87, 254,228.81 and 102,982.24

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Solution

The fourth proportional to 169,681.87, 254,228.81 and 102,982.24 is: 154,294.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,681.87 : 254,228.81 = 102,982.24 : x
  2. Step 2: Convert to fraction form
    169,681.87/254,228.81 = 102,982.24/x
  3. Step 3: Cross multiply
    169,681.87x = 254,228.81 × 102,982.24
  4. Step 4: Simplify right side
    169,681.87x = 26,181,052,708.48
  5. Step 5: Solve for x
    x = 26,181,052,708.48/169,681.87
  6. Step 6: Final answer
    x = 154,294.93

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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.