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Finding the Fourth Proportional to 292,329, 403,414.02 and 158,193

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Solution

The fourth proportional to 292,329, 403,414.02 and 158,193 is: 218,306.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,329 : 403,414.02 = 158,193 : x
  2. Step 2: Convert to fraction form
    292,329/403,414.02 = 158,193/x
  3. Step 3: Cross multiply
    292,329x = 403,414.02 × 158,193
  4. Step 4: Simplify right side
    292,329x = 63,817,274,065.86
  5. Step 5: Solve for x
    x = 63,817,274,065.86/292,329
  6. Step 6: Final answer
    x = 218,306.34

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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.