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Finding the Fourth Proportional to 219,701.88, 329,651.28 and 101,309.76

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Solution

The fourth proportional to 219,701.88, 329,651.28 and 101,309.76 is: 152,010.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,701.88 : 329,651.28 = 101,309.76 : x
  2. Step 2: Convert to fraction form
    219,701.88/329,651.28 = 101,309.76/x
  3. Step 3: Cross multiply
    219,701.88x = 329,651.28 × 101,309.76
  4. Step 4: Simplify right side
    219,701.88x = 33,396,892,060.49
  5. Step 5: Solve for x
    x = 33,396,892,060.49/219,701.88
  6. Step 6: Final answer
    x = 152,010.04

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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.