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Finding the Fourth Proportional to 107,098.94, 160,348.88 and 80,721.02

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Solution

The fourth proportional to 107,098.94, 160,348.88 and 80,721.02 is: 120,855.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,098.94 : 160,348.88 = 80,721.02 : x
  2. Step 2: Convert to fraction form
    107,098.94/160,348.88 = 80,721.02/x
  3. Step 3: Cross multiply
    107,098.94x = 160,348.88 × 80,721.02
  4. Step 4: Simplify right side
    107,098.94x = 12,943,524,549.52
  5. Step 5: Solve for x
    x = 12,943,524,549.52/107,098.94
  6. Step 6: Final answer
    x = 120,855.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.