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Finding the Fourth Proportional to 191,876.14, 264,790.11 and 105,838.14

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Solution

The fourth proportional to 191,876.14, 264,790.11 and 105,838.14 is: 146,057.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,876.14 : 264,790.11 = 105,838.14 : x
  2. Step 2: Convert to fraction form
    191,876.14/264,790.11 = 105,838.14/x
  3. Step 3: Cross multiply
    191,876.14x = 264,790.11 × 105,838.14
  4. Step 4: Simplify right side
    191,876.14x = 28,024,894,122.65
  5. Step 5: Solve for x
    x = 28,024,894,122.65/191,876.14
  6. Step 6: Final answer
    x = 146,057.21

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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.