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Finding the Fourth Proportional to 191,473, 264,238.82 and 119,830.12

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Solution

The fourth proportional to 191,473, 264,238.82 and 119,830.12 is: 165,369.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,473 : 264,238.82 = 119,830.12 : x
  2. Step 2: Convert to fraction form
    191,473/264,238.82 = 119,830.12/x
  3. Step 3: Cross multiply
    191,473x = 264,238.82 × 119,830.12
  4. Step 4: Simplify right side
    191,473x = 31,663,769,509.26
  5. Step 5: Solve for x
    x = 31,663,769,509.26/191,473
  6. Step 6: Final answer
    x = 165,369.37

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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.