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Finding the Fourth Proportional to 146,127.80, 219,029.70 and 57,351.80

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Solution

The fourth proportional to 146,127.80, 219,029.70 and 57,351.80 is: 85,964.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,127.80 : 219,029.70 = 57,351.80 : x
  2. Step 2: Convert to fraction form
    146,127.80/219,029.70 = 57,351.80/x
  3. Step 3: Cross multiply
    146,127.80x = 219,029.70 × 57,351.80
  4. Step 4: Simplify right side
    146,127.80x = 12,561,747,548.46
  5. Step 5: Solve for x
    x = 12,561,747,548.46/146,127.80
  6. Step 6: Final answer
    x = 85,964.12

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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.