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Finding the Fourth Proportional to 191,846.10, 287,769.15 and 180,959.70

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Solution

The fourth proportional to 191,846.10, 287,769.15 and 180,959.70 is: 271,439.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,846.10 : 287,769.15 = 180,959.70 : x
  2. Step 2: Convert to fraction form
    191,846.10/287,769.15 = 180,959.70/x
  3. Step 3: Cross multiply
    191,846.10x = 287,769.15 × 180,959.70
  4. Step 4: Simplify right side
    191,846.10x = 52,074,619,053.26
  5. Step 5: Solve for x
    x = 52,074,619,053.26/191,846.10
  6. Step 6: Final answer
    x = 271,439.55

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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.