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Finding the Fourth Proportional to 201,402.96, 302,025.22 and 73,288.82

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Solution

The fourth proportional to 201,402.96, 302,025.22 and 73,288.82 is: 109,904.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,402.96 : 302,025.22 = 73,288.82 : x
  2. Step 2: Convert to fraction form
    201,402.96/302,025.22 = 73,288.82/x
  3. Step 3: Cross multiply
    201,402.96x = 302,025.22 × 73,288.82
  4. Step 4: Simplify right side
    201,402.96x = 22,135,071,984.04
  5. Step 5: Solve for x
    x = 22,135,071,984.04/201,402.96
  6. Step 6: Final answer
    x = 109,904.40

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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.