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Finding the Fourth Proportional to 201,884.10, 302,826.15 and 200,501.70

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Solution

The fourth proportional to 201,884.10, 302,826.15 and 200,501.70 is: 300,752.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,884.10 : 302,826.15 = 200,501.70 : x
  2. Step 2: Convert to fraction form
    201,884.10/302,826.15 = 200,501.70/x
  3. Step 3: Cross multiply
    201,884.10x = 302,826.15 × 200,501.70
  4. Step 4: Simplify right side
    201,884.10x = 60,717,157,879.46
  5. Step 5: Solve for x
    x = 60,717,157,879.46/201,884.10
  6. Step 6: Final answer
    x = 300,752.55

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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.