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Finding the Fourth Proportional to 188,334.87, 259,904.04 and 102,294.69

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Solution

The fourth proportional to 188,334.87, 259,904.04 and 102,294.69 is: 141,167.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,334.87 : 259,904.04 = 102,294.69 : x
  2. Step 2: Convert to fraction form
    188,334.87/259,904.04 = 102,294.69/x
  3. Step 3: Cross multiply
    188,334.87x = 259,904.04 × 102,294.69
  4. Step 4: Simplify right side
    188,334.87x = 26,586,803,688.87
  5. Step 5: Solve for x
    x = 26,586,803,688.87/188,334.87
  6. Step 6: Final answer
    x = 141,167.71

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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.