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Finding the Fourth Proportional to 188,224.65, 259,675.93 and 107,608.86

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Solution

The fourth proportional to 188,224.65, 259,675.93 and 107,608.86 is: 148,457.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,224.65 : 259,675.93 = 107,608.86 : x
  2. Step 2: Convert to fraction form
    188,224.65/259,675.93 = 107,608.86/x
  3. Step 3: Cross multiply
    188,224.65x = 259,675.93 × 107,608.86
  4. Step 4: Simplify right side
    188,224.65x = 27,943,428,960.32
  5. Step 5: Solve for x
    x = 27,943,428,960.32/188,224.65
  6. Step 6: Final answer
    x = 148,457.87

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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.