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Finding the Fourth Proportional to 164,509.40, 246,821.70 and 71,082.20

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Solution

The fourth proportional to 164,509.40, 246,821.70 and 71,082.20 is: 106,648.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,509.40 : 246,821.70 = 71,082.20 : x
  2. Step 2: Convert to fraction form
    164,509.40/246,821.70 = 71,082.20/x
  3. Step 3: Cross multiply
    164,509.40x = 246,821.70 × 71,082.20
  4. Step 4: Simplify right side
    164,509.40x = 17,544,629,443.74
  5. Step 5: Solve for x
    x = 17,544,629,443.74/164,509.40
  6. Step 6: Final answer
    x = 106,648.19

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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.