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Finding the Fourth Proportional to 191,523.91, 264,300.43 and 106,640.98

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Solution

The fourth proportional to 191,523.91, 264,300.43 and 106,640.98 is: 147,163.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,523.91 : 264,300.43 = 106,640.98 : x
  2. Step 2: Convert to fraction form
    191,523.91/264,300.43 = 106,640.98/x
  3. Step 3: Cross multiply
    191,523.91x = 264,300.43 × 106,640.98
  4. Step 4: Simplify right side
    191,523.91x = 28,185,256,869.62
  5. Step 5: Solve for x
    x = 28,185,256,869.62/191,523.91
  6. Step 6: Final answer
    x = 147,163.12

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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.