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Finding the Fourth Proportional to 146,143.70, 219,238.49 and 61,904.11

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Solution

The fourth proportional to 146,143.70, 219,238.49 and 61,904.11 is: 92,865.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,143.70 : 219,238.49 = 61,904.11 : x
  2. Step 2: Convert to fraction form
    146,143.70/219,238.49 = 61,904.11/x
  3. Step 3: Cross multiply
    146,143.70x = 219,238.49 × 61,904.11
  4. Step 4: Simplify right side
    146,143.70x = 13,571,763,601.19
  5. Step 5: Solve for x
    x = 13,571,763,601.19/146,143.70
  6. Step 6: Final answer
    x = 92,865.88

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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.