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Finding the Fourth Proportional to 238,219.77, 328,747.40 and 130,794.33

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Solution

The fourth proportional to 238,219.77, 328,747.40 and 130,794.33 is: 180,498.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,219.77 : 328,747.40 = 130,794.33 : x
  2. Step 2: Convert to fraction form
    238,219.77/328,747.40 = 130,794.33/x
  3. Step 3: Cross multiply
    238,219.77x = 328,747.40 × 130,794.33
  4. Step 4: Simplify right side
    238,219.77x = 42,998,295,268.27
  5. Step 5: Solve for x
    x = 42,998,295,268.27/238,219.77
  6. Step 6: Final answer
    x = 180,498.43

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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.