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Finding the Fourth Proportional to 381,026.96, 571,496.48 and 100,566.08

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Solution

The fourth proportional to 381,026.96, 571,496.48 and 100,566.08 is: 150,837.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,026.96 : 571,496.48 = 100,566.08 : x
  2. Step 2: Convert to fraction form
    381,026.96/571,496.48 = 100,566.08/x
  3. Step 3: Cross multiply
    381,026.96x = 571,496.48 × 100,566.08
  4. Step 4: Simplify right side
    381,026.96x = 57,473,160,727.40
  5. Step 5: Solve for x
    x = 57,473,160,727.40/381,026.96
  6. Step 6: Final answer
    x = 150,837.52

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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.