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Finding the Fourth Proportional to 201,925.10, 302,887.65 and 200,542.70

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Solution

The fourth proportional to 201,925.10, 302,887.65 and 200,542.70 is: 300,814.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,925.10 : 302,887.65 = 200,542.70 : x
  2. Step 2: Convert to fraction form
    201,925.10/302,887.65 = 200,542.70/x
  3. Step 3: Cross multiply
    201,925.10x = 302,887.65 × 200,542.70
  4. Step 4: Simplify right side
    201,925.10x = 60,741,907,127.66
  5. Step 5: Solve for x
    x = 60,741,907,127.66/201,925.10
  6. Step 6: Final answer
    x = 300,814.05

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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.