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Finding the Fourth Proportional to 179,417.66, 268,781.82 and 100,292

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Solution

The fourth proportional to 179,417.66, 268,781.82 and 100,292 is: 150,245.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,417.66 : 268,781.82 = 100,292 : x
  2. Step 2: Convert to fraction form
    179,417.66/268,781.82 = 100,292/x
  3. Step 3: Cross multiply
    179,417.66x = 268,781.82 × 100,292
  4. Step 4: Simplify right side
    179,417.66x = 26,956,666,291.44
  5. Step 5: Solve for x
    x = 26,956,666,291.44/179,417.66
  6. Step 6: Final answer
    x = 150,245.33

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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.