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Finding the Fourth Proportional to 201,932.70, 302,315.85 and 123,200.70

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Solution

The fourth proportional to 201,932.70, 302,315.85 and 123,200.70 is: 184,445.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,932.70 : 302,315.85 = 123,200.70 : x
  2. Step 2: Convert to fraction form
    201,932.70/302,315.85 = 123,200.70/x
  3. Step 3: Cross multiply
    201,932.70x = 302,315.85 × 123,200.70
  4. Step 4: Simplify right side
    201,932.70x = 37,245,524,341.10
  5. Step 5: Solve for x
    x = 37,245,524,341.10/201,932.70
  6. Step 6: Final answer
    x = 184,445.24

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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.