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Finding the Fourth Proportional to 156,095.44, 215,412.23 and 84,475.44

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Solution

The fourth proportional to 156,095.44, 215,412.23 and 84,475.44 is: 116,576.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,095.44 : 215,412.23 = 84,475.44 : x
  2. Step 2: Convert to fraction form
    156,095.44/215,412.23 = 84,475.44/x
  3. Step 3: Cross multiply
    156,095.44x = 215,412.23 × 84,475.44
  4. Step 4: Simplify right side
    156,095.44x = 18,197,043,121.82
  5. Step 5: Solve for x
    x = 18,197,043,121.82/156,095.44
  6. Step 6: Final answer
    x = 116,576.39

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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.