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Finding the Fourth Proportional to 114,506.24, 171,865.08 and 82,518.56

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Solution

The fourth proportional to 114,506.24, 171,865.08 and 82,518.56 is: 123,854.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,506.24 : 171,865.08 = 82,518.56 : x
  2. Step 2: Convert to fraction form
    114,506.24/171,865.08 = 82,518.56/x
  3. Step 3: Cross multiply
    114,506.24x = 171,865.08 × 82,518.56
  4. Step 4: Simplify right side
    114,506.24x = 14,182,058,915.88
  5. Step 5: Solve for x
    x = 14,182,058,915.88/114,506.24
  6. Step 6: Final answer
    x = 123,854.03

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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.