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Finding the Fourth Proportional to 100,866.40, 139,065.55 and 82,649.40

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Solution

The fourth proportional to 100,866.40, 139,065.55 and 82,649.40 is: 113,949.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,866.40 : 139,065.55 = 82,649.40 : x
  2. Step 2: Convert to fraction form
    100,866.40/139,065.55 = 82,649.40/x
  3. Step 3: Cross multiply
    100,866.40x = 139,065.55 × 82,649.40
  4. Step 4: Simplify right side
    100,866.40x = 11,493,684,268.17
  5. Step 5: Solve for x
    x = 11,493,684,268.17/100,866.40
  6. Step 6: Final answer
    x = 113,949.58

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Why These Related Problems?

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