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Finding the Fourth Proportional to 106,138.52, 146,492.09 and 60,846.92

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Solution

The fourth proportional to 106,138.52, 146,492.09 and 60,846.92 is: 83,980.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,138.52 : 146,492.09 = 60,846.92 : x
  2. Step 2: Convert to fraction form
    106,138.52/146,492.09 = 60,846.92/x
  3. Step 3: Cross multiply
    106,138.52x = 146,492.09 × 60,846.92
  4. Step 4: Simplify right side
    106,138.52x = 8,913,591,444.17
  5. Step 5: Solve for x
    x = 8,913,591,444.17/106,138.52
  6. Step 6: Final answer
    x = 83,980.74

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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.