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Finding the Fourth Proportional to 150,952.50, 208,301.82 and 82,965.96

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Solution

The fourth proportional to 150,952.50, 208,301.82 and 82,965.96 is: 114,486.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,952.50 : 208,301.82 = 82,965.96 : x
  2. Step 2: Convert to fraction form
    150,952.50/208,301.82 = 82,965.96/x
  3. Step 3: Cross multiply
    150,952.50x = 208,301.82 × 82,965.96
  4. Step 4: Simplify right side
    150,952.50x = 17,281,960,466.05
  5. Step 5: Solve for x
    x = 17,281,960,466.05/150,952.50
  6. Step 6: Final answer
    x = 114,486.08

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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.