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Finding the Fourth Proportional to 147,438.10, 220,829.10 and 114,049.90

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Solution

The fourth proportional to 147,438.10, 220,829.10 and 114,049.90 is: 170,821.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,438.10 : 220,829.10 = 114,049.90 : x
  2. Step 2: Convert to fraction form
    147,438.10/220,829.10 = 114,049.90/x
  3. Step 3: Cross multiply
    147,438.10x = 220,829.10 × 114,049.90
  4. Step 4: Simplify right side
    147,438.10x = 25,185,536,772.09
  5. Step 5: Solve for x
    x = 25,185,536,772.09/147,438.10
  6. Step 6: Final answer
    x = 170,821.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.