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Finding the Fourth Proportional to 150,040.32, 207,047.52 and 82,968

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Solution

The fourth proportional to 150,040.32, 207,047.52 and 82,968 is: 114,491.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,040.32 : 207,047.52 = 82,968 : x
  2. Step 2: Convert to fraction form
    150,040.32/207,047.52 = 82,968/x
  3. Step 3: Cross multiply
    150,040.32x = 207,047.52 × 82,968
  4. Step 4: Simplify right side
    150,040.32x = 17,178,318,639.36
  5. Step 5: Solve for x
    x = 17,178,318,639.36/150,040.32
  6. Step 6: Final answer
    x = 114,491.35

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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.