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Finding the Fourth Proportional to 89,245.44, 133,657.08 and 77,494.80

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Solution

The fourth proportional to 89,245.44, 133,657.08 and 77,494.80 is: 116,058.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,245.44 : 133,657.08 = 77,494.80 : x
  2. Step 2: Convert to fraction form
    89,245.44/133,657.08 = 77,494.80/x
  3. Step 3: Cross multiply
    89,245.44x = 133,657.08 × 77,494.80
  4. Step 4: Simplify right side
    89,245.44x = 10,357,728,683.18
  5. Step 5: Solve for x
    x = 10,357,728,683.18/89,245.44
  6. Step 6: Final answer
    x = 116,058.91

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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.