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Finding the Fourth Proportional to 156,097.16, 215,414.61 and 84,477.16

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Solution

The fourth proportional to 156,097.16, 215,414.61 and 84,477.16 is: 116,578.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,097.16 : 215,414.61 = 84,477.16 : x
  2. Step 2: Convert to fraction form
    156,097.16/215,414.61 = 84,477.16/x
  3. Step 3: Cross multiply
    156,097.16x = 215,414.61 × 84,477.16
  4. Step 4: Simplify right side
    156,097.16x = 18,197,614,475.31
  5. Step 5: Solve for x
    x = 18,197,614,475.31/156,097.16
  6. Step 6: Final answer
    x = 116,578.77

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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.