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Finding the Fourth Proportional to 118,693.77, 178,058.19 and 34,443

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Solution

The fourth proportional to 118,693.77, 178,058.19 and 34,443 is: 51,669.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,693.77 : 178,058.19 = 34,443 : x
  2. Step 2: Convert to fraction form
    118,693.77/178,058.19 = 34,443/x
  3. Step 3: Cross multiply
    118,693.77x = 178,058.19 × 34,443
  4. Step 4: Simplify right side
    118,693.77x = 6,132,858,238.17
  5. Step 5: Solve for x
    x = 6,132,858,238.17/118,693.77
  6. Step 6: Final answer
    x = 51,669.59

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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.