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Finding the Fourth Proportional to 362,175.21, 543,265.53 and 137,475.06

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Solution

The fourth proportional to 362,175.21, 543,265.53 and 137,475.06 is: 206,213.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,175.21 : 543,265.53 = 137,475.06 : x
  2. Step 2: Convert to fraction form
    362,175.21/543,265.53 = 137,475.06/x
  3. Step 3: Cross multiply
    362,175.21x = 543,265.53 × 137,475.06
  4. Step 4: Simplify right side
    362,175.21x = 74,685,461,332.68
  5. Step 5: Solve for x
    x = 74,685,461,332.68/362,175.21
  6. Step 6: Final answer
    x = 206,213.62

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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.