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Finding the Fourth Proportional to 248,657.46, 343,432.35 and 164,151.78

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Solution

The fourth proportional to 248,657.46, 343,432.35 and 164,151.78 is: 226,717.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,657.46 : 343,432.35 = 164,151.78 : x
  2. Step 2: Convert to fraction form
    248,657.46/343,432.35 = 164,151.78/x
  3. Step 3: Cross multiply
    248,657.46x = 343,432.35 × 164,151.78
  4. Step 4: Simplify right side
    248,657.46x = 56,375,031,562.08
  5. Step 5: Solve for x
    x = 56,375,031,562.08/248,657.46
  6. Step 6: Final answer
    x = 226,717.64

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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.