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Finding the Fourth Proportional to 261,661.44, 360,998.28 and 148,418.58

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Solution

The fourth proportional to 261,661.44, 360,998.28 and 148,418.58 is: 204,764.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,661.44 : 360,998.28 = 148,418.58 : x
  2. Step 2: Convert to fraction form
    261,661.44/360,998.28 = 148,418.58/x
  3. Step 3: Cross multiply
    261,661.44x = 360,998.28 × 148,418.58
  4. Step 4: Simplify right side
    261,661.44x = 53,578,852,100.04
  5. Step 5: Solve for x
    x = 53,578,852,100.04/261,661.44
  6. Step 6: Final answer
    x = 204,764.03

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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.