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Finding the Fourth Proportional to 164,020.57, 245,993.92 and 58,839.53

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Solution

The fourth proportional to 164,020.57, 245,993.92 and 58,839.53 is: 88,246.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,020.57 : 245,993.92 = 58,839.53 : x
  2. Step 2: Convert to fraction form
    164,020.57/245,993.92 = 58,839.53/x
  3. Step 3: Cross multiply
    164,020.57x = 245,993.92 × 58,839.53
  4. Step 4: Simplify right side
    164,020.57x = 14,474,165,258.59
  5. Step 5: Solve for x
    x = 14,474,165,258.59/164,020.57
  6. Step 6: Final answer
    x = 88,246.04

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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.