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Finding the Fourth Proportional to 146,880, 220,319.46 and 41,698.98

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Solution

The fourth proportional to 146,880, 220,319.46 and 41,698.98 is: 62,548.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,880 : 220,319.46 = 41,698.98 : x
  2. Step 2: Convert to fraction form
    146,880/220,319.46 = 41,698.98/x
  3. Step 3: Cross multiply
    146,880x = 220,319.46 × 41,698.98
  4. Step 4: Simplify right side
    146,880x = 9,187,096,756.15
  5. Step 5: Solve for x
    x = 9,187,096,756.15/146,880
  6. Step 6: Final answer
    x = 62,548.32

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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.