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Finding the Fourth Proportional to 255,434.22, 352,510.17 and 142,256.97

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Solution

The fourth proportional to 255,434.22, 352,510.17 and 142,256.97 is: 196,320.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,434.22 : 352,510.17 = 142,256.97 : x
  2. Step 2: Convert to fraction form
    255,434.22/352,510.17 = 142,256.97/x
  3. Step 3: Cross multiply
    255,434.22x = 352,510.17 × 142,256.97
  4. Step 4: Simplify right side
    255,434.22x = 50,147,028,678.38
  5. Step 5: Solve for x
    x = 50,147,028,678.38/255,434.22
  6. Step 6: Final answer
    x = 196,320.71

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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.