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Finding the Fourth Proportional to 267,738.35, 369,477.42 and 146,876.54

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Solution

The fourth proportional to 267,738.35, 369,477.42 and 146,876.54 is: 202,688.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,738.35 : 369,477.42 = 146,876.54 : x
  2. Step 2: Convert to fraction form
    267,738.35/369,477.42 = 146,876.54/x
  3. Step 3: Cross multiply
    267,738.35x = 369,477.42 × 146,876.54
  4. Step 4: Simplify right side
    267,738.35x = 54,267,565,057.73
  5. Step 5: Solve for x
    x = 54,267,565,057.73/267,738.35
  6. Step 6: Final answer
    x = 202,688.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.