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Finding the Fourth Proportional to 105,970.92, 146,231.46 and 60,638.52

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Solution

The fourth proportional to 105,970.92, 146,231.46 and 60,638.52 is: 83,676.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,970.92 : 146,231.46 = 60,638.52 : x
  2. Step 2: Convert to fraction form
    105,970.92/146,231.46 = 60,638.52/x
  3. Step 3: Cross multiply
    105,970.92x = 146,231.46 × 60,638.52
  4. Step 4: Simplify right side
    105,970.92x = 8,867,259,311.84
  5. Step 5: Solve for x
    x = 8,867,259,311.84/105,970.92
  6. Step 6: Final answer
    x = 83,676.35

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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.