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Finding the Fourth Proportional to 225,595.46, 338,427.21 and 97,546.79

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Solution

The fourth proportional to 225,595.46, 338,427.21 and 97,546.79 is: 146,334.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,595.46 : 338,427.21 = 97,546.79 : x
  2. Step 2: Convert to fraction form
    225,595.46/338,427.21 = 97,546.79/x
  3. Step 3: Cross multiply
    225,595.46x = 338,427.21 × 97,546.79
  4. Step 4: Simplify right side
    225,595.46x = 33,012,486,292.02
  5. Step 5: Solve for x
    x = 33,012,486,292.02/225,595.46
  6. Step 6: Final answer
    x = 146,334.89

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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.