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Finding the Fourth Proportional to 89,874.23, 134,682.87 and 65,994.41

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Solution

The fourth proportional to 89,874.23, 134,682.87 and 65,994.41 is: 98,897.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,874.23 : 134,682.87 = 65,994.41 : x
  2. Step 2: Convert to fraction form
    89,874.23/134,682.87 = 65,994.41/x
  3. Step 3: Cross multiply
    89,874.23x = 134,682.87 × 65,994.41
  4. Step 4: Simplify right side
    89,874.23x = 8,888,315,869.34
  5. Step 5: Solve for x
    x = 8,888,315,869.34/89,874.23
  6. Step 6: Final answer
    x = 98,897.27

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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.