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Finding the Fourth Proportional to 201,900.26, 278,618.54 and 111,264.64

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Solution

The fourth proportional to 201,900.26, 278,618.54 and 111,264.64 is: 153,543.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,900.26 : 278,618.54 = 111,264.64 : x
  2. Step 2: Convert to fraction form
    201,900.26/278,618.54 = 111,264.64/x
  3. Step 3: Cross multiply
    201,900.26x = 278,618.54 × 111,264.64
  4. Step 4: Simplify right side
    201,900.26x = 31,000,390,297.56
  5. Step 5: Solve for x
    x = 31,000,390,297.56/201,900.26
  6. Step 6: Final answer
    x = 153,543.09

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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.