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Finding the Fourth Proportional to 147,289.77, 203,261.31 and 83,628.99

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Solution

The fourth proportional to 147,289.77, 203,261.31 and 83,628.99 is: 115,408.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,289.77 : 203,261.31 = 83,628.99 : x
  2. Step 2: Convert to fraction form
    147,289.77/203,261.31 = 83,628.99/x
  3. Step 3: Cross multiply
    147,289.77x = 203,261.31 × 83,628.99
  4. Step 4: Simplify right side
    147,289.77x = 16,998,538,061.38
  5. Step 5: Solve for x
    x = 16,998,538,061.38/147,289.77
  6. Step 6: Final answer
    x = 115,408.82

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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.