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Finding the Fourth Proportional to 202,165.62, 303,434.63 and 102,395.28

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Solution

The fourth proportional to 202,165.62, 303,434.63 and 102,395.28 is: 153,687.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,165.62 : 303,434.63 = 102,395.28 : x
  2. Step 2: Convert to fraction form
    202,165.62/303,434.63 = 102,395.28/x
  3. Step 3: Cross multiply
    202,165.62x = 303,434.63 × 102,395.28
  4. Step 4: Simplify right side
    202,165.62x = 31,070,273,900.55
  5. Step 5: Solve for x
    x = 31,070,273,900.55/202,165.62
  6. Step 6: Final answer
    x = 153,687.23

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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.