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Finding the Fourth Proportional to 220,342.50, 304,165.67 and 148,819.40

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Solution

The fourth proportional to 220,342.50, 304,165.67 and 148,819.40 is: 205,433.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,342.50 : 304,165.67 = 148,819.40 : x
  2. Step 2: Convert to fraction form
    220,342.50/304,165.67 = 148,819.40/x
  3. Step 3: Cross multiply
    220,342.50x = 304,165.67 × 148,819.40
  4. Step 4: Simplify right side
    220,342.50x = 45,265,751,385.69
  5. Step 5: Solve for x
    x = 45,265,751,385.69/220,342.50
  6. Step 6: Final answer
    x = 205,433.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.