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Finding the Fourth Proportional to 120,364.46, 166,101.76 and 65,173.53

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Solution

The fourth proportional to 120,364.46, 166,101.76 and 65,173.53 is: 89,938.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,364.46 : 166,101.76 = 65,173.53 : x
  2. Step 2: Convert to fraction form
    120,364.46/166,101.76 = 65,173.53/x
  3. Step 3: Cross multiply
    120,364.46x = 166,101.76 × 65,173.53
  4. Step 4: Simplify right side
    120,364.46x = 10,825,438,038.41
  5. Step 5: Solve for x
    x = 10,825,438,038.41/120,364.46
  6. Step 6: Final answer
    x = 89,938.82

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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.