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Finding the Fourth Proportional to 188,208, 259,693.50 and 106,535.84

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Solution

The fourth proportional to 188,208, 259,693.50 and 106,535.84 is: 147,000.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,208 : 259,693.50 = 106,535.84 : x
  2. Step 2: Convert to fraction form
    188,208/259,693.50 = 106,535.84/x
  3. Step 3: Cross multiply
    188,208x = 259,693.50 × 106,535.84
  4. Step 4: Simplify right side
    188,208x = 27,666,665,165.04
  5. Step 5: Solve for x
    x = 27,666,665,165.04/188,208
  6. Step 6: Final answer
    x = 147,000.47

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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.