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Finding the Fourth Proportional to 191,564.29, 264,232.11 and 119,819.80

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Solution

The fourth proportional to 191,564.29, 264,232.11 and 119,819.80 is: 165,272.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,564.29 : 264,232.11 = 119,819.80 : x
  2. Step 2: Convert to fraction form
    191,564.29/264,232.11 = 119,819.80/x
  3. Step 3: Cross multiply
    191,564.29x = 264,232.11 × 119,819.80
  4. Step 4: Simplify right side
    191,564.29x = 31,660,238,573.78
  5. Step 5: Solve for x
    x = 31,660,238,573.78/191,564.29
  6. Step 6: Final answer
    x = 165,272.13

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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.