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Finding the Fourth Proportional to 172,101.96, 236,853.54 and 145,593

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Solution

The fourth proportional to 172,101.96, 236,853.54 and 145,593 is: 200,370.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,101.96 : 236,853.54 = 145,593 : x
  2. Step 2: Convert to fraction form
    172,101.96/236,853.54 = 145,593/x
  3. Step 3: Cross multiply
    172,101.96x = 236,853.54 × 145,593
  4. Step 4: Simplify right side
    172,101.96x = 34,484,217,449.22
  5. Step 5: Solve for x
    x = 34,484,217,449.22/172,101.96
  6. Step 6: Final answer
    x = 200,370.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.