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Finding the Fourth Proportional to 84,205.90, 126,309 and 56,180.71

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Solution

The fourth proportional to 84,205.90, 126,309 and 56,180.71 is: 84,271.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,205.90 : 126,309 = 56,180.71 : x
  2. Step 2: Convert to fraction form
    84,205.90/126,309 = 56,180.71/x
  3. Step 3: Cross multiply
    84,205.90x = 126,309 × 56,180.71
  4. Step 4: Simplify right side
    84,205.90x = 7,096,129,299.39
  5. Step 5: Solve for x
    x = 7,096,129,299.39/84,205.90
  6. Step 6: Final answer
    x = 84,271.17

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