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Finding the Fourth Proportional to 146,576.80, 219,703.20 and 57,800.80

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Solution

The fourth proportional to 146,576.80, 219,703.20 and 57,800.80 is: 86,637.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,576.80 : 219,703.20 = 57,800.80 : x
  2. Step 2: Convert to fraction form
    146,576.80/219,703.20 = 57,800.80/x
  3. Step 3: Cross multiply
    146,576.80x = 219,703.20 × 57,800.80
  4. Step 4: Simplify right side
    146,576.80x = 12,699,020,722.56
  5. Step 5: Solve for x
    x = 12,699,020,722.56/146,576.80
  6. Step 6: Final answer
    x = 86,637.32

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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.