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Finding the Fourth Proportional to 221,976.60, 332,964.90 and 97,317.60

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Solution

The fourth proportional to 221,976.60, 332,964.90 and 97,317.60 is: 145,976.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,976.60 : 332,964.90 = 97,317.60 : x
  2. Step 2: Convert to fraction form
    221,976.60/332,964.90 = 97,317.60/x
  3. Step 3: Cross multiply
    221,976.60x = 332,964.90 × 97,317.60
  4. Step 4: Simplify right side
    221,976.60x = 32,403,344,952.24
  5. Step 5: Solve for x
    x = 32,403,344,952.24/221,976.60
  6. Step 6: Final answer
    x = 145,976.40

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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.