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Finding the Fourth Proportional to 232,714.80, 349,072.20 and 164,808.45

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Solution

The fourth proportional to 232,714.80, 349,072.20 and 164,808.45 is: 247,212.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,714.80 : 349,072.20 = 164,808.45 : x
  2. Step 2: Convert to fraction form
    232,714.80/349,072.20 = 164,808.45/x
  3. Step 3: Cross multiply
    232,714.80x = 349,072.20 × 164,808.45
  4. Step 4: Simplify right side
    232,714.80x = 57,530,048,220.09
  5. Step 5: Solve for x
    x = 57,530,048,220.09/232,714.80
  6. Step 6: Final answer
    x = 247,212.68

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1.5x scale

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.