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Finding the Fourth Proportional to 191,751.71, 264,626.39 and 106,869.38

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Solution

The fourth proportional to 191,751.71, 264,626.39 and 106,869.38 is: 147,484.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,751.71 : 264,626.39 = 106,869.38 : x
  2. Step 2: Convert to fraction form
    191,751.71/264,626.39 = 106,869.38/x
  3. Step 3: Cross multiply
    191,751.71x = 264,626.39 × 106,869.38
  4. Step 4: Simplify right side
    191,751.71x = 28,280,457,174.98
  5. Step 5: Solve for x
    x = 28,280,457,174.98/191,751.71
  6. Step 6: Final answer
    x = 147,484.78

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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.