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Finding the Fourth Proportional to 202,230.10, 303,345.15 and 162,864.10

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Solution

The fourth proportional to 202,230.10, 303,345.15 and 162,864.10 is: 244,296.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,230.10 : 303,345.15 = 162,864.10 : x
  2. Step 2: Convert to fraction form
    202,230.10/303,345.15 = 162,864.10/x
  3. Step 3: Cross multiply
    202,230.10x = 303,345.15 × 162,864.10
  4. Step 4: Simplify right side
    202,230.10x = 49,404,034,844.12
  5. Step 5: Solve for x
    x = 49,404,034,844.12/202,230.10
  6. Step 6: Final answer
    x = 244,296.15

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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.