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Finding the Fourth Proportional to 119,393.96, 164,758.47 and 65,675.57

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Solution

The fourth proportional to 119,393.96, 164,758.47 and 65,675.57 is: 90,629.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,393.96 : 164,758.47 = 65,675.57 : x
  2. Step 2: Convert to fraction form
    119,393.96/164,758.47 = 65,675.57/x
  3. Step 3: Cross multiply
    119,393.96x = 164,758.47 × 65,675.57
  4. Step 4: Simplify right side
    119,393.96x = 10,820,606,429.58
  5. Step 5: Solve for x
    x = 10,820,606,429.58/119,393.96
  6. Step 6: Final answer
    x = 90,629.43

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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.