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Finding the Fourth Proportional to 264,398.74, 396,204.30 and 146,103.91

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Solution

The fourth proportional to 264,398.74, 396,204.30 and 146,103.91 is: 218,938.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,398.74 : 396,204.30 = 146,103.91 : x
  2. Step 2: Convert to fraction form
    264,398.74/396,204.30 = 146,103.91/x
  3. Step 3: Cross multiply
    264,398.74x = 396,204.30 × 146,103.91
  4. Step 4: Simplify right side
    264,398.74x = 57,886,997,388.81
  5. Step 5: Solve for x
    x = 57,886,997,388.81/264,398.74
  6. Step 6: Final answer
    x = 218,938.25

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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.