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Finding the Fourth Proportional to 202,164.62, 303,433.13 and 102,394.28

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Solution

The fourth proportional to 202,164.62, 303,433.13 and 102,394.28 is: 153,685.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,164.62 : 303,433.13 = 102,394.28 : x
  2. Step 2: Convert to fraction form
    202,164.62/303,433.13 = 102,394.28/x
  3. Step 3: Cross multiply
    202,164.62x = 303,433.13 × 102,394.28
  4. Step 4: Simplify right side
    202,164.62x = 31,069,817,889.06
  5. Step 5: Solve for x
    x = 31,069,817,889.06/202,164.62
  6. Step 6: Final answer
    x = 153,685.74

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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.