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Finding the Fourth Proportional to 156,022.79, 215,310.79 and 84,402.63

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Solution

The fourth proportional to 156,022.79, 215,310.79 and 84,402.63 is: 116,475.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,022.79 : 215,310.79 = 84,402.63 : x
  2. Step 2: Convert to fraction form
    156,022.79/215,310.79 = 84,402.63/x
  3. Step 3: Cross multiply
    156,022.79x = 215,310.79 × 84,402.63
  4. Step 4: Simplify right side
    156,022.79x = 18,172,796,943.38
  5. Step 5: Solve for x
    x = 18,172,796,943.38/156,022.79
  6. Step 6: Final answer
    x = 116,475.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.