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Finding the Fourth Proportional to 119,002.14, 164,217.51 and 65,286

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Solution

The fourth proportional to 119,002.14, 164,217.51 and 65,286 is: 90,091.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,002.14 : 164,217.51 = 65,286 : x
  2. Step 2: Convert to fraction form
    119,002.14/164,217.51 = 65,286/x
  3. Step 3: Cross multiply
    119,002.14x = 164,217.51 × 65,286
  4. Step 4: Simplify right side
    119,002.14x = 10,721,104,357.86
  5. Step 5: Solve for x
    x = 10,721,104,357.86/119,002.14
  6. Step 6: Final answer
    x = 90,091.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.