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Finding the Fourth Proportional to 201,891.90, 302,837.85 and 138,906.30

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Solution

The fourth proportional to 201,891.90, 302,837.85 and 138,906.30 is: 208,359.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,891.90 : 302,837.85 = 138,906.30 : x
  2. Step 2: Convert to fraction form
    201,891.90/302,837.85 = 138,906.30/x
  3. Step 3: Cross multiply
    201,891.90x = 302,837.85 × 138,906.30
  4. Step 4: Simplify right side
    201,891.90x = 42,066,085,243.46
  5. Step 5: Solve for x
    x = 42,066,085,243.46/201,891.90
  6. Step 6: Final answer
    x = 208,359.45

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1.5x scale

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.