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Finding the Fourth Proportional to 230,951.07, 318,694.29 and 128,968.56

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Solution

The fourth proportional to 230,951.07, 318,694.29 and 128,968.56 is: 177,966.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,951.07 : 318,694.29 = 128,968.56 : x
  2. Step 2: Convert to fraction form
    230,951.07/318,694.29 = 128,968.56/x
  3. Step 3: Cross multiply
    230,951.07x = 318,694.29 × 128,968.56
  4. Step 4: Simplify right side
    230,951.07x = 41,101,543,661.52
  5. Step 5: Solve for x
    x = 41,101,543,661.52/230,951.07
  6. Step 6: Final answer
    x = 177,966.46

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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.