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Finding the Fourth Proportional to 146,111.20, 219,188.70 and 61,871.20

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Solution

The fourth proportional to 146,111.20, 219,188.70 and 61,871.20 is: 92,816.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,111.20 : 219,188.70 = 61,871.20 : x
  2. Step 2: Convert to fraction form
    146,111.20/219,188.70 = 61,871.20/x
  3. Step 3: Cross multiply
    146,111.20x = 219,188.70 × 61,871.20
  4. Step 4: Simplify right side
    146,111.20x = 13,561,467,895.44
  5. Step 5: Solve for x
    x = 13,561,467,895.44/146,111.20
  6. Step 6: Final answer
    x = 92,816.07

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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.