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Finding the Fourth Proportional to 146,803.32, 220,213.32 and 41,614

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Solution

The fourth proportional to 146,803.32, 220,213.32 and 41,614 is: 62,423.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,803.32 : 220,213.32 = 41,614 : x
  2. Step 2: Convert to fraction form
    146,803.32/220,213.32 = 41,614/x
  3. Step 3: Cross multiply
    146,803.32x = 220,213.32 × 41,614
  4. Step 4: Simplify right side
    146,803.32x = 9,163,957,098.48
  5. Step 5: Solve for x
    x = 9,163,957,098.48/146,803.32
  6. Step 6: Final answer
    x = 62,423.36

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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.