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Finding the Fourth Proportional to 153,321.45, 229,965.99 and 41,013

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Solution

The fourth proportional to 153,321.45, 229,965.99 and 41,013 is: 61,515.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,321.45 : 229,965.99 = 41,013 : x
  2. Step 2: Convert to fraction form
    153,321.45/229,965.99 = 41,013/x
  3. Step 3: Cross multiply
    153,321.45x = 229,965.99 × 41,013
  4. Step 4: Simplify right side
    153,321.45x = 9,431,595,224.77
  5. Step 5: Solve for x
    x = 9,431,595,224.77/153,321.45
  6. Step 6: Final answer
    x = 61,515.17

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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.