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Finding the Fourth Proportional to 238,358.58, 328,797.43 and 142,809.92

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Solution

The fourth proportional to 238,358.58, 328,797.43 and 142,809.92 is: 196,995.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,358.58 : 328,797.43 = 142,809.92 : x
  2. Step 2: Convert to fraction form
    238,358.58/328,797.43 = 142,809.92/x
  3. Step 3: Cross multiply
    238,358.58x = 328,797.43 × 142,809.92
  4. Step 4: Simplify right side
    238,358.58x = 46,955,533,906.48
  5. Step 5: Solve for x
    x = 46,955,533,906.48/238,358.58
  6. Step 6: Final answer
    x = 196,995.36

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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.