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Finding the Fourth Proportional to 156,628.24, 216,141.49 and 85,006.83

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Solution

The fourth proportional to 156,628.24, 216,141.49 and 85,006.83 is: 117,306.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,628.24 : 216,141.49 = 85,006.83 : x
  2. Step 2: Convert to fraction form
    156,628.24/216,141.49 = 85,006.83/x
  3. Step 3: Cross multiply
    156,628.24x = 216,141.49 × 85,006.83
  4. Step 4: Simplify right side
    156,628.24x = 18,373,502,896.38
  5. Step 5: Solve for x
    x = 18,373,502,896.38/156,628.24
  6. Step 6: Final answer
    x = 117,306.45

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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.