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Finding the Fourth Proportional to 159,214.61, 219,716.16 and 87,593.10

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Solution

The fourth proportional to 159,214.61, 219,716.16 and 87,593.10 is: 120,878.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,214.61 : 219,716.16 = 87,593.10 : x
  2. Step 2: Convert to fraction form
    159,214.61/219,716.16 = 87,593.10/x
  3. Step 3: Cross multiply
    159,214.61x = 219,716.16 × 87,593.10
  4. Step 4: Simplify right side
    159,214.61x = 19,245,618,037.95
  5. Step 5: Solve for x
    x = 19,245,618,037.95/159,214.61
  6. Step 6: Final answer
    x = 120,878.47

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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.