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Finding the Fourth Proportional to 221,844.40, 332,507.40 and 116,609.20

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Solution

The fourth proportional to 221,844.40, 332,507.40 and 116,609.20 is: 174,777.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,844.40 : 332,507.40 = 116,609.20 : x
  2. Step 2: Convert to fraction form
    221,844.40/332,507.40 = 116,609.20/x
  3. Step 3: Cross multiply
    221,844.40x = 332,507.40 × 116,609.20
  4. Step 4: Simplify right side
    221,844.40x = 38,773,421,908.08
  5. Step 5: Solve for x
    x = 38,773,421,908.08/221,844.40
  6. Step 6: Final answer
    x = 174,777.56

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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.