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Finding the Fourth Proportional to 191,874.60, 287,785.98 and 51,641.64

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Solution

The fourth proportional to 191,874.60, 287,785.98 and 51,641.64 is: 77,455.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,874.60 : 287,785.98 = 51,641.64 : x
  2. Step 2: Convert to fraction form
    191,874.60/287,785.98 = 51,641.64/x
  3. Step 3: Cross multiply
    191,874.60x = 287,785.98 × 51,641.64
  4. Step 4: Simplify right side
    191,874.60x = 14,861,739,976.21
  5. Step 5: Solve for x
    x = 14,861,739,976.21/191,874.60
  6. Step 6: Final answer
    x = 77,455.48

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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.