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Finding the Fourth Proportional to 226,276.16, 312,406.13 and 202,035.29

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Solution

The fourth proportional to 226,276.16, 312,406.13 and 202,035.29 is: 278,938.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,276.16 : 312,406.13 = 202,035.29 : x
  2. Step 2: Convert to fraction form
    226,276.16/312,406.13 = 202,035.29/x
  3. Step 3: Cross multiply
    226,276.16x = 312,406.13 × 202,035.29
  4. Step 4: Simplify right side
    226,276.16x = 63,117,062,015.39
  5. Step 5: Solve for x
    x = 63,117,062,015.39/226,276.16
  6. Step 6: Final answer
    x = 278,938.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.