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Finding the Fourth Proportional to 101,823.52, 152,658.48 and 66,772

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Solution

The fourth proportional to 101,823.52, 152,658.48 and 66,772 is: 100,107.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,823.52 : 152,658.48 = 66,772 : x
  2. Step 2: Convert to fraction form
    101,823.52/152,658.48 = 66,772/x
  3. Step 3: Cross multiply
    101,823.52x = 152,658.48 × 66,772
  4. Step 4: Simplify right side
    101,823.52x = 10,193,312,026.56
  5. Step 5: Solve for x
    x = 10,193,312,026.56/101,823.52
  6. Step 6: Final answer
    x = 100,107.64

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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.