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Finding the Fourth Proportional to 296,084.61, 444,122.81 and 71,443.17

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Solution

The fourth proportional to 296,084.61, 444,122.81 and 71,443.17 is: 107,163.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,084.61 : 444,122.81 = 71,443.17 : x
  2. Step 2: Convert to fraction form
    296,084.61/444,122.81 = 71,443.17/x
  3. Step 3: Cross multiply
    296,084.61x = 444,122.81 × 71,443.17
  4. Step 4: Simplify right side
    296,084.61x = 31,729,541,415.71
  5. Step 5: Solve for x
    x = 31,729,541,415.71/296,084.61
  6. Step 6: Final answer
    x = 107,163.76

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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.