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Finding the Fourth Proportional to 191,702.66, 264,564.86 and 105,676.92

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Solution

The fourth proportional to 191,702.66, 264,564.86 and 105,676.92 is: 145,842.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,702.66 : 264,564.86 = 105,676.92 : x
  2. Step 2: Convert to fraction form
    191,702.66/264,564.86 = 105,676.92/x
  3. Step 3: Cross multiply
    191,702.66x = 264,564.86 × 105,676.92
  4. Step 4: Simplify right side
    191,702.66x = 27,958,399,016.65
  5. Step 5: Solve for x
    x = 27,958,399,016.65/191,702.66
  6. Step 6: Final answer
    x = 145,842.52

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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.