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Finding the Fourth Proportional to 147,647.26, 221,506.11 and 47,807.50

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Solution

The fourth proportional to 147,647.26, 221,506.11 and 47,807.50 is: 71,722.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,647.26 : 221,506.11 = 47,807.50 : x
  2. Step 2: Convert to fraction form
    147,647.26/221,506.11 = 47,807.50/x
  3. Step 3: Cross multiply
    147,647.26x = 221,506.11 × 47,807.50
  4. Step 4: Simplify right side
    147,647.26x = 10,589,653,353.83
  5. Step 5: Solve for x
    x = 10,589,653,353.83/147,647.26
  6. Step 6: Final answer
    x = 71,722.65

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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.