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Finding the Fourth Proportional to 85,166.17, 116,678.16 and 81,973.87

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Solution

The fourth proportional to 85,166.17, 116,678.16 and 81,973.87 is: 112,304.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,166.17 : 116,678.16 = 81,973.87 : x
  2. Step 2: Convert to fraction form
    85,166.17/116,678.16 = 81,973.87/x
  3. Step 3: Cross multiply
    85,166.17x = 116,678.16 × 81,973.87
  4. Step 4: Simplify right side
    85,166.17x = 9,564,560,319.68
  5. Step 5: Solve for x
    x = 9,564,560,319.68/85,166.17
  6. Step 6: Final answer
    x = 112,304.69

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.