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Finding the Fourth Proportional to 164,502.54, 246,762.80 and 52,174.62

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Solution

The fourth proportional to 164,502.54, 246,762.80 and 52,174.62 is: 78,264.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,502.54 : 246,762.80 = 52,174.62 : x
  2. Step 2: Convert to fraction form
    164,502.54/246,762.80 = 52,174.62/x
  3. Step 3: Cross multiply
    164,502.54x = 246,762.80 × 52,174.62
  4. Step 4: Simplify right side
    164,502.54x = 12,874,755,320.14
  5. Step 5: Solve for x
    x = 12,874,755,320.14/164,502.54
  6. Step 6: Final answer
    x = 78,264.78

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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.