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Finding the Fourth Proportional to 100,917, 139,265.46 and 56,205

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Solution

The fourth proportional to 100,917, 139,265.46 and 56,205 is: 77,562.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,917 : 139,265.46 = 56,205 : x
  2. Step 2: Convert to fraction form
    100,917/139,265.46 = 56,205/x
  3. Step 3: Cross multiply
    100,917x = 139,265.46 × 56,205
  4. Step 4: Simplify right side
    100,917x = 7,827,415,179.30
  5. Step 5: Solve for x
    x = 7,827,415,179.30/100,917
  6. Step 6: Final answer
    x = 77,562.90

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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.