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Finding the Fourth Proportional to 191,377.75, 287,067.41 and 77,527.72

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Solution

The fourth proportional to 191,377.75, 287,067.41 and 77,527.72 is: 116,291.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,377.75 : 287,067.41 = 77,527.72 : x
  2. Step 2: Convert to fraction form
    191,377.75/287,067.41 = 77,527.72/x
  3. Step 3: Cross multiply
    191,377.75x = 287,067.41 × 77,527.72
  4. Step 4: Simplify right side
    191,377.75x = 22,255,681,783.61
  5. Step 5: Solve for x
    x = 22,255,681,783.61/191,377.75
  6. Step 6: Final answer
    x = 116,291.90

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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.