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Finding the Fourth Proportional to 109,194.63, 163,791.41 and 42,641.52

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Solution

The fourth proportional to 109,194.63, 163,791.41 and 42,641.52 is: 63,962.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,194.63 : 163,791.41 = 42,641.52 : x
  2. Step 2: Convert to fraction form
    109,194.63/163,791.41 = 42,641.52/x
  3. Step 3: Cross multiply
    109,194.63x = 163,791.41 × 42,641.52
  4. Step 4: Simplify right side
    109,194.63x = 6,984,314,472.14
  5. Step 5: Solve for x
    x = 6,984,314,472.14/109,194.63
  6. Step 6: Final answer
    x = 63,962.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.