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Finding the Fourth Proportional to 292,825, 404,098.52 and 158,689

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Solution

The fourth proportional to 292,825, 404,098.52 and 158,689 is: 218,990.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,825 : 404,098.52 = 158,689 : x
  2. Step 2: Convert to fraction form
    292,825/404,098.52 = 158,689/x
  3. Step 3: Cross multiply
    292,825x = 404,098.52 × 158,689
  4. Step 4: Simplify right side
    292,825x = 64,125,990,040.28
  5. Step 5: Solve for x
    x = 64,125,990,040.28/292,825
  6. Step 6: Final answer
    x = 218,990.83

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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.