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Finding the Fourth Proportional to 227,412, 313,835.04 and 126,816.48

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Solution

The fourth proportional to 227,412, 313,835.04 and 126,816.48 is: 175,010.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,412 : 313,835.04 = 126,816.48 : x
  2. Step 2: Convert to fraction form
    227,412/313,835.04 = 126,816.48/x
  3. Step 3: Cross multiply
    227,412x = 313,835.04 × 126,816.48
  4. Step 4: Simplify right side
    227,412x = 39,799,455,073.46
  5. Step 5: Solve for x
    x = 39,799,455,073.46/227,412
  6. Step 6: Final answer
    x = 175,010.36

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1.5x scale

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.