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Finding the Fourth Proportional to 225,203.28, 337,902.96 and 141,156

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Solution

The fourth proportional to 225,203.28, 337,902.96 and 141,156 is: 211,795.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,203.28 : 337,902.96 = 141,156 : x
  2. Step 2: Convert to fraction form
    225,203.28/337,902.96 = 141,156/x
  3. Step 3: Cross multiply
    225,203.28x = 337,902.96 × 141,156
  4. Step 4: Simplify right side
    225,203.28x = 47,697,030,221.76
  5. Step 5: Solve for x
    x = 47,697,030,221.76/225,203.28
  6. Step 6: Final answer
    x = 211,795.45

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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.