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Finding the Fourth Proportional to 362,140.96, 543,240.48 and 137,608.96

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Solution

The fourth proportional to 362,140.96, 543,240.48 and 137,608.96 is: 206,424.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,140.96 : 543,240.48 = 137,608.96 : x
  2. Step 2: Convert to fraction form
    362,140.96/543,240.48 = 137,608.96/x
  3. Step 3: Cross multiply
    362,140.96x = 543,240.48 × 137,608.96
  4. Step 4: Simplify right side
    362,140.96x = 74,754,757,482.70
  5. Step 5: Solve for x
    x = 74,754,757,482.70/362,140.96
  6. Step 6: Final answer
    x = 206,424.47

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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.