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Finding the Fourth Proportional to 191,949.78, 287,975.70 and 65,589.78

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Solution

The fourth proportional to 191,949.78, 287,975.70 and 65,589.78 is: 98,402.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,949.78 : 287,975.70 = 65,589.78 : x
  2. Step 2: Convert to fraction form
    191,949.78/287,975.70 = 65,589.78/x
  3. Step 3: Cross multiply
    191,949.78x = 287,975.70 × 65,589.78
  4. Step 4: Simplify right side
    191,949.78x = 18,888,262,808.35
  5. Step 5: Solve for x
    x = 18,888,262,808.35/191,949.78
  6. Step 6: Final answer
    x = 98,402.11

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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.