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Finding the Fourth Proportional to 100,982.40, 139,240.80 and 82,776

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Solution

The fourth proportional to 100,982.40, 139,240.80 and 82,776 is: 114,136.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,982.40 : 139,240.80 = 82,776 : x
  2. Step 2: Convert to fraction form
    100,982.40/139,240.80 = 82,776/x
  3. Step 3: Cross multiply
    100,982.40x = 139,240.80 × 82,776
  4. Step 4: Simplify right side
    100,982.40x = 11,525,796,460.80
  5. Step 5: Solve for x
    x = 11,525,796,460.80/100,982.40
  6. Step 6: Final answer
    x = 114,136.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.