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Finding the Fourth Proportional to 150,515.08, 207,713.20 and 82,538.24

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Solution

The fourth proportional to 150,515.08, 207,713.20 and 82,538.24 is: 113,904.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,515.08 : 207,713.20 = 82,538.24 : x
  2. Step 2: Convert to fraction form
    150,515.08/207,713.20 = 82,538.24/x
  3. Step 3: Cross multiply
    150,515.08x = 207,713.20 × 82,538.24
  4. Step 4: Simplify right side
    150,515.08x = 17,144,281,952.77
  5. Step 5: Solve for x
    x = 17,144,281,952.77/150,515.08
  6. Step 6: Final answer
    x = 113,904.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.