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Finding the Fourth Proportional to 103,894.92, 143,446.14 and 66,220.20

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Solution

The fourth proportional to 103,894.92, 143,446.14 and 66,220.20 is: 91,429.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,894.92 : 143,446.14 = 66,220.20 : x
  2. Step 2: Convert to fraction form
    103,894.92/143,446.14 = 66,220.20/x
  3. Step 3: Cross multiply
    103,894.92x = 143,446.14 × 66,220.20
  4. Step 4: Simplify right side
    103,894.92x = 9,499,032,080.03
  5. Step 5: Solve for x
    x = 9,499,032,080.03/103,894.92
  6. Step 6: Final answer
    x = 91,429.23

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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.