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Finding the Fourth Proportional to 96,645.10, 144,967.65 and 82,821.10

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Solution

The fourth proportional to 96,645.10, 144,967.65 and 82,821.10 is: 124,231.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,645.10 : 144,967.65 = 82,821.10 : x
  2. Step 2: Convert to fraction form
    96,645.10/144,967.65 = 82,821.10/x
  3. Step 3: Cross multiply
    96,645.10x = 144,967.65 × 82,821.10
  4. Step 4: Simplify right side
    96,645.10x = 12,006,380,237.42
  5. Step 5: Solve for x
    x = 12,006,380,237.42/96,645.10
  6. Step 6: Final answer
    x = 124,231.65

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1.5x scale

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.