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Finding the Fourth Proportional to 120,755.79, 166,643.61 and 75,460.11

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Solution

The fourth proportional to 120,755.79, 166,643.61 and 75,460.11 is: 104,135.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,755.79 : 166,643.61 = 75,460.11 : x
  2. Step 2: Convert to fraction form
    120,755.79/166,643.61 = 75,460.11/x
  3. Step 3: Cross multiply
    120,755.79x = 166,643.61 × 75,460.11
  4. Step 4: Simplify right side
    120,755.79x = 12,574,945,141.40
  5. Step 5: Solve for x
    x = 12,574,945,141.40/120,755.79
  6. Step 6: Final answer
    x = 104,135.34

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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.