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Finding the Fourth Proportional to 362,164.96, 543,276.48 and 137,632.96

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Solution

The fourth proportional to 362,164.96, 543,276.48 and 137,632.96 is: 206,460.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,164.96 : 543,276.48 = 137,632.96 : x
  2. Step 2: Convert to fraction form
    362,164.96/543,276.48 = 137,632.96/x
  3. Step 3: Cross multiply
    362,164.96x = 543,276.48 × 137,632.96
  4. Step 4: Simplify right side
    362,164.96x = 74,772,750,040.78
  5. Step 5: Solve for x
    x = 74,772,750,040.78/362,164.96
  6. Step 6: Final answer
    x = 206,460.48

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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.