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Finding the Fourth Proportional to 201,648.88, 278,272.22 and 111,005.12

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Solution

The fourth proportional to 201,648.88, 278,272.22 and 111,005.12 is: 153,185.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,648.88 : 278,272.22 = 111,005.12 : x
  2. Step 2: Convert to fraction form
    201,648.88/278,272.22 = 111,005.12/x
  3. Step 3: Cross multiply
    201,648.88x = 278,272.22 × 111,005.12
  4. Step 4: Simplify right side
    201,648.88x = 30,889,641,173.77
  5. Step 5: Solve for x
    x = 30,889,641,173.77/201,648.88
  6. Step 6: Final answer
    x = 153,185.29

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1.5x scale

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.