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Finding the Fourth Proportional to 119,133.96, 164,396.72 and 65,422.46

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Solution

The fourth proportional to 119,133.96, 164,396.72 and 65,422.46 is: 90,278.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,133.96 : 164,396.72 = 65,422.46 : x
  2. Step 2: Convert to fraction form
    119,133.96/164,396.72 = 65,422.46/x
  3. Step 3: Cross multiply
    119,133.96x = 164,396.72 × 65,422.46
  4. Step 4: Simplify right side
    119,133.96x = 10,755,236,689.24
  5. Step 5: Solve for x
    x = 10,755,236,689.24/119,133.96
  6. Step 6: Final answer
    x = 90,278.51

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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.