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Finding the Fourth Proportional to 191,854.92, 264,761.55 and 105,817.26

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Solution

The fourth proportional to 191,854.92, 264,761.55 and 105,817.26 is: 146,028.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,854.92 : 264,761.55 = 105,817.26 : x
  2. Step 2: Convert to fraction form
    191,854.92/264,761.55 = 105,817.26/x
  3. Step 3: Cross multiply
    191,854.92x = 264,761.55 × 105,817.26
  4. Step 4: Simplify right side
    191,854.92x = 28,016,341,774.35
  5. Step 5: Solve for x
    x = 28,016,341,774.35/191,854.92
  6. Step 6: Final answer
    x = 146,028.79

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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.