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Finding the Fourth Proportional to 146,574.38, 219,861.88 and 35,766.38

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Solution

The fourth proportional to 146,574.38, 219,861.88 and 35,766.38 is: 53,649.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,574.38 : 219,861.88 = 35,766.38 : x
  2. Step 2: Convert to fraction form
    146,574.38/219,861.88 = 35,766.38/x
  3. Step 3: Cross multiply
    146,574.38x = 219,861.88 × 35,766.38
  4. Step 4: Simplify right side
    146,574.38x = 7,863,664,007.83
  5. Step 5: Solve for x
    x = 7,863,664,007.83/146,574.38
  6. Step 6: Final answer
    x = 53,649.65

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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.