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Finding the Fourth Proportional to 362,156.16, 543,767.47 and 202,544.80

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Solution

The fourth proportional to 362,156.16, 543,767.47 and 202,544.80 is: 304,115.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,156.16 : 543,767.47 = 202,544.80 : x
  2. Step 2: Convert to fraction form
    362,156.16/543,767.47 = 202,544.80/x
  3. Step 3: Cross multiply
    362,156.16x = 543,767.47 × 202,544.80
  4. Step 4: Simplify right side
    362,156.16x = 110,137,270,738.82
  5. Step 5: Solve for x
    x = 110,137,270,738.82/362,156.16
  6. Step 6: Final answer
    x = 304,115.41

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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.