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Finding the Fourth Proportional to 107,264.73, 160,784.82 and 36,162.80

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Solution

The fourth proportional to 107,264.73, 160,784.82 and 36,162.80 is: 54,206.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,264.73 : 160,784.82 = 36,162.80 : x
  2. Step 2: Convert to fraction form
    107,264.73/160,784.82 = 36,162.80/x
  3. Step 3: Cross multiply
    107,264.73x = 160,784.82 × 36,162.80
  4. Step 4: Simplify right side
    107,264.73x = 5,814,428,484.77
  5. Step 5: Solve for x
    x = 5,814,428,484.77/107,264.73
  6. Step 6: Final answer
    x = 54,206.34

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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.