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Finding the Fourth Proportional to 191,834.64, 287,711.64 and 51,594.48

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Solution

The fourth proportional to 191,834.64, 287,711.64 and 51,594.48 is: 77,380.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,834.64 : 287,711.64 = 51,594.48 : x
  2. Step 2: Convert to fraction form
    191,834.64/287,711.64 = 51,594.48/x
  3. Step 3: Cross multiply
    191,834.64x = 287,711.64 × 51,594.48
  4. Step 4: Simplify right side
    191,834.64x = 14,844,332,455.75
  5. Step 5: Solve for x
    x = 14,844,332,455.75/191,834.64
  6. Step 6: Final answer
    x = 77,380.88

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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.