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Finding the Fourth Proportional to 362,531.93, 543,798.12 and 137,840.42

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Solution

The fourth proportional to 362,531.93, 543,798.12 and 137,840.42 is: 206,760.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,531.93 : 543,798.12 = 137,840.42 : x
  2. Step 2: Convert to fraction form
    362,531.93/543,798.12 = 137,840.42/x
  3. Step 3: Cross multiply
    362,531.93x = 543,798.12 × 137,840.42
  4. Step 4: Simplify right side
    362,531.93x = 74,957,358,537.02
  5. Step 5: Solve for x
    x = 74,957,358,537.02/362,531.93
  6. Step 6: Final answer
    x = 206,760.71

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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.