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Finding the Fourth Proportional to 146,011.50, 219,040.95 and 57,216.87

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Solution

The fourth proportional to 146,011.50, 219,040.95 and 57,216.87 is: 85,834.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,011.50 : 219,040.95 = 57,216.87 : x
  2. Step 2: Convert to fraction form
    146,011.50/219,040.95 = 57,216.87/x
  3. Step 3: Cross multiply
    146,011.50x = 219,040.95 × 57,216.87
  4. Step 4: Simplify right side
    146,011.50x = 12,532,837,560.83
  5. Step 5: Solve for x
    x = 12,532,837,560.83/146,011.50
  6. Step 6: Final answer
    x = 85,834.59

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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.