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Finding the Fourth Proportional to 221,976.10, 332,964.15 and 97,317.10

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Solution

The fourth proportional to 221,976.10, 332,964.15 and 97,317.10 is: 145,975.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,976.10 : 332,964.15 = 97,317.10 : x
  2. Step 2: Convert to fraction form
    221,976.10/332,964.15 = 97,317.10/x
  3. Step 3: Cross multiply
    221,976.10x = 332,964.15 × 97,317.10
  4. Step 4: Simplify right side
    221,976.10x = 32,403,105,481.97
  5. Step 5: Solve for x
    x = 32,403,105,481.97/221,976.10
  6. Step 6: Final answer
    x = 145,975.65

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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.