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Finding the Fourth Proportional to 147,775.38, 203,930.25 and 84,113.17

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Solution

The fourth proportional to 147,775.38, 203,930.25 and 84,113.17 is: 116,076.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,775.38 : 203,930.25 = 84,113.17 : x
  2. Step 2: Convert to fraction form
    147,775.38/203,930.25 = 84,113.17/x
  3. Step 3: Cross multiply
    147,775.38x = 203,930.25 × 84,113.17
  4. Step 4: Simplify right side
    147,775.38x = 17,153,219,786.39
  5. Step 5: Solve for x
    x = 17,153,219,786.39/147,775.38
  6. Step 6: Final answer
    x = 116,076.30

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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.