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Finding the Fourth Proportional to 146,439, 219,838.04 and 96,560.80

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Solution

The fourth proportional to 146,439, 219,838.04 and 96,560.80 is: 144,959.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,439 : 219,838.04 = 96,560.80 : x
  2. Step 2: Convert to fraction form
    146,439/219,838.04 = 96,560.80/x
  3. Step 3: Cross multiply
    146,439x = 219,838.04 × 96,560.80
  4. Step 4: Simplify right side
    146,439x = 21,227,737,012.83
  5. Step 5: Solve for x
    x = 21,227,737,012.83/146,439
  6. Step 6: Final answer
    x = 144,959.59

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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.