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Finding the Fourth Proportional to 201,873.34, 278,583.84 and 111,227.21

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Solution

The fourth proportional to 201,873.34, 278,583.84 and 111,227.21 is: 153,492.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,873.34 : 278,583.84 = 111,227.21 : x
  2. Step 2: Convert to fraction form
    201,873.34/278,583.84 = 111,227.21/x
  3. Step 3: Cross multiply
    201,873.34x = 278,583.84 × 111,227.21
  4. Step 4: Simplify right side
    201,873.34x = 30,986,103,274.29
  5. Step 5: Solve for x
    x = 30,986,103,274.29/201,873.34
  6. Step 6: Final answer
    x = 153,492.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.