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Finding the Fourth Proportional to 150,146.50, 207,207.18 and 82,162.01

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Solution

The fourth proportional to 150,146.50, 207,207.18 and 82,162.01 is: 113,386.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,146.50 : 207,207.18 = 82,162.01 : x
  2. Step 2: Convert to fraction form
    150,146.50/207,207.18 = 82,162.01/x
  3. Step 3: Cross multiply
    150,146.50x = 207,207.18 × 82,162.01
  4. Step 4: Simplify right side
    150,146.50x = 17,024,558,395.23
  5. Step 5: Solve for x
    x = 17,024,558,395.23/150,146.50
  6. Step 6: Final answer
    x = 113,386.32

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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.