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Finding the Fourth Proportional to 119,060.70, 164,305.47 and 65,344.74

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Solution

The fourth proportional to 119,060.70, 164,305.47 and 65,344.74 is: 90,176.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,060.70 : 164,305.47 = 65,344.74 : x
  2. Step 2: Convert to fraction form
    119,060.70/164,305.47 = 65,344.74/x
  3. Step 3: Cross multiply
    119,060.70x = 164,305.47 × 65,344.74
  4. Step 4: Simplify right side
    119,060.70x = 10,736,498,217.73
  5. Step 5: Solve for x
    x = 10,736,498,217.73/119,060.70
  6. Step 6: Final answer
    x = 90,176.68

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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.