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Finding the Fourth Proportional to 226,901.96, 313,119.22 and 142,065.80

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Solution

The fourth proportional to 226,901.96, 313,119.22 and 142,065.80 is: 196,047.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,901.96 : 313,119.22 = 142,065.80 : x
  2. Step 2: Convert to fraction form
    226,901.96/313,119.22 = 142,065.80/x
  3. Step 3: Cross multiply
    226,901.96x = 313,119.22 × 142,065.80
  4. Step 4: Simplify right side
    226,901.96x = 44,483,532,484.68
  5. Step 5: Solve for x
    x = 44,483,532,484.68/226,901.96
  6. Step 6: Final answer
    x = 196,047.37

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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.