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Finding the Fourth Proportional to 205,329, 283,335.52 and 114,672.36

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Solution

The fourth proportional to 205,329, 283,335.52 and 114,672.36 is: 158,237.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,329 : 283,335.52 = 114,672.36 : x
  2. Step 2: Convert to fraction form
    205,329/283,335.52 = 114,672.36/x
  3. Step 3: Cross multiply
    205,329x = 283,335.52 × 114,672.36
  4. Step 4: Simplify right side
    205,329x = 32,490,752,750.23
  5. Step 5: Solve for x
    x = 32,490,752,750.23/205,329
  6. Step 6: Final answer
    x = 158,237.52

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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.