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Finding the Fourth Proportional to 188,294.67, 259,845.64 and 102,252.90

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Solution

The fourth proportional to 188,294.67, 259,845.64 and 102,252.90 is: 141,108.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,294.67 : 259,845.64 = 102,252.90 : x
  2. Step 2: Convert to fraction form
    188,294.67/259,845.64 = 102,252.90/x
  3. Step 3: Cross multiply
    188,294.67x = 259,845.64 × 102,252.90
  4. Step 4: Simplify right side
    188,294.67x = 26,569,970,242.36
  5. Step 5: Solve for x
    x = 26,569,970,242.36/188,294.67
  6. Step 6: Final answer
    x = 141,108.46

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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.