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Finding the Fourth Proportional to 108,102.92, 149,180.58 and 60,357

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Solution

The fourth proportional to 108,102.92, 149,180.58 and 60,357 is: 83,291.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,102.92 : 149,180.58 = 60,357 : x
  2. Step 2: Convert to fraction form
    108,102.92/149,180.58 = 60,357/x
  3. Step 3: Cross multiply
    108,102.92x = 149,180.58 × 60,357
  4. Step 4: Simplify right side
    108,102.92x = 9,004,092,267.06
  5. Step 5: Solve for x
    x = 9,004,092,267.06/108,102.92
  6. Step 6: Final answer
    x = 83,291.85

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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.