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Finding the Fourth Proportional to 219,376.80, 329,065.20 and 101,278.80

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Solution

The fourth proportional to 219,376.80, 329,065.20 and 101,278.80 is: 151,918.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,376.80 : 329,065.20 = 101,278.80 : x
  2. Step 2: Convert to fraction form
    219,376.80/329,065.20 = 101,278.80/x
  3. Step 3: Cross multiply
    219,376.80x = 329,065.20 × 101,278.80
  4. Step 4: Simplify right side
    219,376.80x = 33,327,328,577.76
  5. Step 5: Solve for x
    x = 33,327,328,577.76/219,376.80
  6. Step 6: Final answer
    x = 151,918.20

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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.