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Finding the Fourth Proportional to 150,566, 225,862.08 and 39,758

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Solution

The fourth proportional to 150,566, 225,862.08 and 39,758 is: 59,640.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,566 : 225,862.08 = 39,758 : x
  2. Step 2: Convert to fraction form
    150,566/225,862.08 = 39,758/x
  3. Step 3: Cross multiply
    150,566x = 225,862.08 × 39,758
  4. Step 4: Simplify right side
    150,566x = 8,979,824,576.64
  5. Step 5: Solve for x
    x = 8,979,824,576.64/150,566
  6. Step 6: Final answer
    x = 59,640.45

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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.