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Finding the Fourth Proportional to 103,822.66, 143,276.61 and 61,380.82

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Solution

The fourth proportional to 103,822.66, 143,276.61 and 61,380.82 is: 84,706.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,822.66 : 143,276.61 = 61,380.82 : x
  2. Step 2: Convert to fraction form
    103,822.66/143,276.61 = 61,380.82/x
  3. Step 3: Cross multiply
    103,822.66x = 143,276.61 × 61,380.82
  4. Step 4: Simplify right side
    103,822.66x = 8,794,435,808.62
  5. Step 5: Solve for x
    x = 8,794,435,808.62/103,822.66
  6. Step 6: Final answer
    x = 84,706.32

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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.