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Finding the Fourth Proportional to 120,463.60, 166,237.32 and 66,748.48

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Solution

The fourth proportional to 120,463.60, 166,237.32 and 66,748.48 is: 92,111.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,463.60 : 166,237.32 = 66,748.48 : x
  2. Step 2: Convert to fraction form
    120,463.60/166,237.32 = 66,748.48/x
  3. Step 3: Cross multiply
    120,463.60x = 166,237.32 × 66,748.48
  4. Step 4: Simplify right side
    120,463.60x = 11,096,088,429.27
  5. Step 5: Solve for x
    x = 11,096,088,429.27/120,463.60
  6. Step 6: Final answer
    x = 92,111.55

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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.