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Finding the Fourth Proportional to 210,606.54, 315,965.22 and 75,684.24

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Solution

The fourth proportional to 210,606.54, 315,965.22 and 75,684.24 is: 113,546.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,606.54 : 315,965.22 = 75,684.24 : x
  2. Step 2: Convert to fraction form
    210,606.54/315,965.22 = 75,684.24/x
  3. Step 3: Cross multiply
    210,606.54x = 315,965.22 × 75,684.24
  4. Step 4: Simplify right side
    210,606.54x = 23,913,587,542.13
  5. Step 5: Solve for x
    x = 23,913,587,542.13/210,606.54
  6. Step 6: Final answer
    x = 113,546.27

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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.