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Finding the Fourth Proportional to 166,483.76, 229,735.86 and 101,963.84

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Solution

The fourth proportional to 166,483.76, 229,735.86 and 101,963.84 is: 140,702.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,483.76 : 229,735.86 = 101,963.84 : x
  2. Step 2: Convert to fraction form
    166,483.76/229,735.86 = 101,963.84/x
  3. Step 3: Cross multiply
    166,483.76x = 229,735.86 × 101,963.84
  4. Step 4: Simplify right side
    166,483.76x = 23,424,750,471.30
  5. Step 5: Solve for x
    x = 23,424,750,471.30/166,483.76
  6. Step 6: Final answer
    x = 140,702.92

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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.