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Finding the Fourth Proportional to 202,169.10, 303,253.65 and 162,803.10

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Solution

The fourth proportional to 202,169.10, 303,253.65 and 162,803.10 is: 244,204.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,169.10 : 303,253.65 = 162,803.10 : x
  2. Step 2: Convert to fraction form
    202,169.10/303,253.65 = 162,803.10/x
  3. Step 3: Cross multiply
    202,169.10x = 303,253.65 × 162,803.10
  4. Step 4: Simplify right side
    202,169.10x = 49,370,634,306.32
  5. Step 5: Solve for x
    x = 49,370,634,306.32/202,169.10
  6. Step 6: Final answer
    x = 244,204.65

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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.