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Finding the Fourth Proportional to 234,488.52, 323,705.74 and 157,097.44

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Solution

The fourth proportional to 234,488.52, 323,705.74 and 157,097.44 is: 216,869.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,488.52 : 323,705.74 = 157,097.44 : x
  2. Step 2: Convert to fraction form
    234,488.52/323,705.74 = 157,097.44/x
  3. Step 3: Cross multiply
    234,488.52x = 323,705.74 × 157,097.44
  4. Step 4: Simplify right side
    234,488.52x = 50,853,343,067.31
  5. Step 5: Solve for x
    x = 50,853,343,067.31/234,488.52
  6. Step 6: Final answer
    x = 216,869.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.