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Finding the Fourth Proportional to 191,821.68, 287,732.52 and 81,014.64

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Solution

The fourth proportional to 191,821.68, 287,732.52 and 81,014.64 is: 121,521.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,821.68 : 287,732.52 = 81,014.64 : x
  2. Step 2: Convert to fraction form
    191,821.68/287,732.52 = 81,014.64/x
  3. Step 3: Cross multiply
    191,821.68x = 287,732.52 × 81,014.64
  4. Step 4: Simplify right side
    191,821.68x = 23,310,546,524.09
  5. Step 5: Solve for x
    x = 23,310,546,524.09/191,821.68
  6. Step 6: Final answer
    x = 121,521.96

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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.