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Finding the Fourth Proportional to 143,809.66, 198,509.43 and 87,219.82

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Solution

The fourth proportional to 143,809.66, 198,509.43 and 87,219.82 is: 120,394.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,809.66 : 198,509.43 = 87,219.82 : x
  2. Step 2: Convert to fraction form
    143,809.66/198,509.43 = 87,219.82/x
  3. Step 3: Cross multiply
    143,809.66x = 198,509.43 × 87,219.82
  4. Step 4: Simplify right side
    143,809.66x = 17,313,956,752.90
  5. Step 5: Solve for x
    x = 17,313,956,752.90/143,809.66
  6. Step 6: Final answer
    x = 120,394.95

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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.