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Finding the Fourth Proportional to 119,251.62, 164,570.27 and 65,538

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Solution

The fourth proportional to 119,251.62, 164,570.27 and 65,538 is: 90,444.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,251.62 : 164,570.27 = 65,538 : x
  2. Step 2: Convert to fraction form
    119,251.62/164,570.27 = 65,538/x
  3. Step 3: Cross multiply
    119,251.62x = 164,570.27 × 65,538
  4. Step 4: Simplify right side
    119,251.62x = 10,785,606,027.57
  5. Step 5: Solve for x
    x = 10,785,606,027.57/119,251.62
  6. Step 6: Final answer
    x = 90,444.10

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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.