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Finding the Fourth Proportional to 202,166.34, 303,245.37 and 89,816.10

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Solution

The fourth proportional to 202,166.34, 303,245.37 and 89,816.10 is: 134,722.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,166.34 : 303,245.37 = 89,816.10 : x
  2. Step 2: Convert to fraction form
    202,166.34/303,245.37 = 89,816.10/x
  3. Step 3: Cross multiply
    202,166.34x = 303,245.37 × 89,816.10
  4. Step 4: Simplify right side
    202,166.34x = 27,236,316,476.46
  5. Step 5: Solve for x
    x = 27,236,316,476.46/202,166.34
  6. Step 6: Final answer
    x = 134,722.31

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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.