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Finding the Fourth Proportional to 335,785.20, 503,766.90 and 146,164.20

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Solution

The fourth proportional to 335,785.20, 503,766.90 and 146,164.20 is: 219,285.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,785.20 : 503,766.90 = 146,164.20 : x
  2. Step 2: Convert to fraction form
    335,785.20/503,766.90 = 146,164.20/x
  3. Step 3: Cross multiply
    335,785.20x = 503,766.90 × 146,164.20
  4. Step 4: Simplify right side
    335,785.20x = 73,632,685,924.98
  5. Step 5: Solve for x
    x = 73,632,685,924.98/335,785.20
  6. Step 6: Final answer
    x = 219,285.08

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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.