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Finding the Fourth Proportional to 191,694, 264,527 and 105,650.16

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Solution

The fourth proportional to 191,694, 264,527 and 105,650.16 is: 145,791.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,694 : 264,527 = 105,650.16 : x
  2. Step 2: Convert to fraction form
    191,694/264,527 = 105,650.16/x
  3. Step 3: Cross multiply
    191,694x = 264,527 × 105,650.16
  4. Step 4: Simplify right side
    191,694x = 27,947,319,874.32
  5. Step 5: Solve for x
    x = 27,947,319,874.32/191,694
  6. Step 6: Final answer
    x = 145,791.31

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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.