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Finding the Fourth Proportional to 150,326.16, 225,515.22 and 50,496

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Solution

The fourth proportional to 150,326.16, 225,515.22 and 50,496 is: 75,752.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,326.16 : 225,515.22 = 50,496 : x
  2. Step 2: Convert to fraction form
    150,326.16/225,515.22 = 50,496/x
  3. Step 3: Cross multiply
    150,326.16x = 225,515.22 × 50,496
  4. Step 4: Simplify right side
    150,326.16x = 11,387,616,549.12
  5. Step 5: Solve for x
    x = 11,387,616,549.12/150,326.16
  6. Step 6: Final answer
    x = 75,752.73

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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.