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Finding the Fourth Proportional to 381,103.32, 571,654.94 and 100,623

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Solution

The fourth proportional to 381,103.32, 571,654.94 and 100,623 is: 150,934.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,103.32 : 571,654.94 = 100,623 : x
  2. Step 2: Convert to fraction form
    381,103.32/571,654.94 = 100,623/x
  3. Step 3: Cross multiply
    381,103.32x = 571,654.94 × 100,623
  4. Step 4: Simplify right side
    381,103.32x = 57,521,634,524.51
  5. Step 5: Solve for x
    x = 57,521,634,524.51/381,103.32
  6. Step 6: Final answer
    x = 150,934.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.