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Finding the Fourth Proportional to 362,235.65, 543,335.94 and 137,578.55

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Solution

The fourth proportional to 362,235.65, 543,335.94 and 137,578.55 is: 206,361.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,235.65 : 543,335.94 = 137,578.55 : x
  2. Step 2: Convert to fraction form
    362,235.65/543,335.94 = 137,578.55/x
  3. Step 3: Cross multiply
    362,235.65x = 543,335.94 × 137,578.55
  4. Step 4: Simplify right side
    362,235.65x = 74,751,368,071.41
  5. Step 5: Solve for x
    x = 74,751,368,071.41/362,235.65
  6. Step 6: Final answer
    x = 206,361.16

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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.