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Finding the Fourth Proportional to 191,329.78, 286,817.56 and 84,657.20

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Solution

The fourth proportional to 191,329.78, 286,817.56 and 84,657.20 is: 126,907.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,329.78 : 286,817.56 = 84,657.20 : x
  2. Step 2: Convert to fraction form
    191,329.78/286,817.56 = 84,657.20/x
  3. Step 3: Cross multiply
    191,329.78x = 286,817.56 × 84,657.20
  4. Step 4: Simplify right side
    191,329.78x = 24,281,171,540.43
  5. Step 5: Solve for x
    x = 24,281,171,540.43/191,329.78
  6. Step 6: Final answer
    x = 126,907.43

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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.