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Finding the Fourth Proportional to 191,641.29, 287,463.05 and 49,476.86

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Solution

The fourth proportional to 191,641.29, 287,463.05 and 49,476.86 is: 74,215.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,641.29 : 287,463.05 = 49,476.86 : x
  2. Step 2: Convert to fraction form
    191,641.29/287,463.05 = 49,476.86/x
  3. Step 3: Cross multiply
    191,641.29x = 287,463.05 × 49,476.86
  4. Step 4: Simplify right side
    191,641.29x = 14,222,768,658.85
  5. Step 5: Solve for x
    x = 14,222,768,658.85/191,641.29
  6. Step 6: Final answer
    x = 74,215.57

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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.