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Finding the Fourth Proportional to 201,937.10, 302,905.65 and 162,571.10

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Solution

The fourth proportional to 201,937.10, 302,905.65 and 162,571.10 is: 243,856.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,937.10 : 302,905.65 = 162,571.10 : x
  2. Step 2: Convert to fraction form
    201,937.10/302,905.65 = 162,571.10/x
  3. Step 3: Cross multiply
    201,937.10x = 302,905.65 × 162,571.10
  4. Step 4: Simplify right side
    201,937.10x = 49,243,704,716.72
  5. Step 5: Solve for x
    x = 49,243,704,716.72/201,937.10
  6. Step 6: Final answer
    x = 243,856.65

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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.