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Finding the Fourth Proportional to 191,843.10, 287,764.65 and 180,956.70

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Solution

The fourth proportional to 191,843.10, 287,764.65 and 180,956.70 is: 271,435.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,843.10 : 287,764.65 = 180,956.70 : x
  2. Step 2: Convert to fraction form
    191,843.10/287,764.65 = 180,956.70/x
  3. Step 3: Cross multiply
    191,843.10x = 287,764.65 × 180,956.70
  4. Step 4: Simplify right side
    191,843.10x = 52,072,941,440.66
  5. Step 5: Solve for x
    x = 52,072,941,440.66/191,843.10
  6. Step 6: Final answer
    x = 271,435.05

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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.