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Finding the Fourth Proportional to 156,410.56, 216,024.66 and 106,022.08

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Solution

The fourth proportional to 156,410.56, 216,024.66 and 106,022.08 is: 146,431.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,410.56 : 216,024.66 = 106,022.08 : x
  2. Step 2: Convert to fraction form
    156,410.56/216,024.66 = 106,022.08/x
  3. Step 3: Cross multiply
    156,410.56x = 216,024.66 × 106,022.08
  4. Step 4: Simplify right side
    156,410.56x = 22,903,383,784.49
  5. Step 5: Solve for x
    x = 22,903,383,784.49/156,410.56
  6. Step 6: Final answer
    x = 146,431.19

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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.