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Finding the Fourth Proportional to 102,131.87, 141,043.03 and 84,160.64

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Solution

The fourth proportional to 102,131.87, 141,043.03 and 84,160.64 is: 116,224.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,131.87 : 141,043.03 = 84,160.64 : x
  2. Step 2: Convert to fraction form
    102,131.87/141,043.03 = 84,160.64/x
  3. Step 3: Cross multiply
    102,131.87x = 141,043.03 × 84,160.64
  4. Step 4: Simplify right side
    102,131.87x = 11,870,271,814.55
  5. Step 5: Solve for x
    x = 11,870,271,814.55/102,131.87
  6. Step 6: Final answer
    x = 116,224.96

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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.