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Finding the Fourth Proportional to 233,568.20, 322,324.04 and 126,138.20

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Solution

The fourth proportional to 233,568.20, 322,324.04 and 126,138.20 is: 174,070.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,568.20 : 322,324.04 = 126,138.20 : x
  2. Step 2: Convert to fraction form
    233,568.20/322,324.04 = 126,138.20/x
  3. Step 3: Cross multiply
    233,568.20x = 322,324.04 × 126,138.20
  4. Step 4: Simplify right side
    233,568.20x = 40,657,374,222.33
  5. Step 5: Solve for x
    x = 40,657,374,222.33/233,568.20
  6. Step 6: Final answer
    x = 174,070.67

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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.