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Finding the Fourth Proportional to 124,006.82, 171,142.80 and 70,286.09

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Solution

The fourth proportional to 124,006.82, 171,142.80 and 70,286.09 is: 97,002.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,006.82 : 171,142.80 = 70,286.09 : x
  2. Step 2: Convert to fraction form
    124,006.82/171,142.80 = 70,286.09/x
  3. Step 3: Cross multiply
    124,006.82x = 171,142.80 × 70,286.09
  4. Step 4: Simplify right side
    124,006.82x = 12,028,958,243.65
  5. Step 5: Solve for x
    x = 12,028,958,243.65/124,006.82
  6. Step 6: Final answer
    x = 97,002.39

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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.