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Finding the Fourth Proportional to 191,472, 264,237.44 and 119,829.12

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Solution

The fourth proportional to 191,472, 264,237.44 and 119,829.12 is: 165,367.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,472 : 264,237.44 = 119,829.12 : x
  2. Step 2: Convert to fraction form
    191,472/264,237.44 = 119,829.12/x
  3. Step 3: Cross multiply
    191,472x = 264,237.44 × 119,829.12
  4. Step 4: Simplify right side
    191,472x = 31,663,339,906.25
  5. Step 5: Solve for x
    x = 31,663,339,906.25/191,472
  6. Step 6: Final answer
    x = 165,367.99

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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.