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Finding the Fourth Proportional to 287,821.72, 431,733.39 and 100,789.48

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Solution

The fourth proportional to 287,821.72, 431,733.39 and 100,789.48 is: 151,184.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,821.72 : 431,733.39 = 100,789.48 : x
  2. Step 2: Convert to fraction form
    287,821.72/431,733.39 = 100,789.48/x
  3. Step 3: Cross multiply
    287,821.72x = 431,733.39 × 100,789.48
  4. Step 4: Simplify right side
    287,821.72x = 43,514,183,876.74
  5. Step 5: Solve for x
    x = 43,514,183,876.74/287,821.72
  6. Step 6: Final answer
    x = 151,184.50

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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.