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Finding the Fourth Proportional to 202,318.08, 303,251.04 and 75,836.64

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Solution

The fourth proportional to 202,318.08, 303,251.04 and 75,836.64 is: 113,670.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,318.08 : 303,251.04 = 75,836.64 : x
  2. Step 2: Convert to fraction form
    202,318.08/303,251.04 = 75,836.64/x
  3. Step 3: Cross multiply
    202,318.08x = 303,251.04 × 75,836.64
  4. Step 4: Simplify right side
    202,318.08x = 22,997,539,950.11
  5. Step 5: Solve for x
    x = 22,997,539,950.11/202,318.08
  6. Step 6: Final answer
    x = 113,670.22

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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.