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Finding the Fourth Proportional to 146,509.80, 219,764.70 and 48,013.80

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Solution

The fourth proportional to 146,509.80, 219,764.70 and 48,013.80 is: 72,020.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,509.80 : 219,764.70 = 48,013.80 : x
  2. Step 2: Convert to fraction form
    146,509.80/219,764.70 = 48,013.80/x
  3. Step 3: Cross multiply
    146,509.80x = 219,764.70 × 48,013.80
  4. Step 4: Simplify right side
    146,509.80x = 10,551,738,352.86
  5. Step 5: Solve for x
    x = 10,551,738,352.86/146,509.80
  6. Step 6: Final answer
    x = 72,020.70

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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.