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Finding the Fourth Proportional to 188,383, 259,853.16 and 111,850.12

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Solution

The fourth proportional to 188,383, 259,853.16 and 111,850.12 is: 154,284.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,383 : 259,853.16 = 111,850.12 : x
  2. Step 2: Convert to fraction form
    188,383/259,853.16 = 111,850.12/x
  3. Step 3: Cross multiply
    188,383x = 259,853.16 × 111,850.12
  4. Step 4: Simplify right side
    188,383x = 29,064,607,128.38
  5. Step 5: Solve for x
    x = 29,064,607,128.38/188,383
  6. Step 6: Final answer
    x = 154,284.66

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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.