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Finding the Fourth Proportional to 248,381.92, 342,811.78 and 146,401.42

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Solution

The fourth proportional to 248,381.92, 342,811.78 and 146,401.42 is: 202,060.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,381.92 : 342,811.78 = 146,401.42 : x
  2. Step 2: Convert to fraction form
    248,381.92/342,811.78 = 146,401.42/x
  3. Step 3: Cross multiply
    248,381.92x = 342,811.78 × 146,401.42
  4. Step 4: Simplify right side
    248,381.92x = 50,188,131,875.75
  5. Step 5: Solve for x
    x = 50,188,131,875.75/248,381.92
  6. Step 6: Final answer
    x = 202,060.33

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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.