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Finding the Fourth Proportional to 225,077.10, 310,593.87 and 123,082.26

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Solution

The fourth proportional to 225,077.10, 310,593.87 and 123,082.26 is: 169,846.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,077.10 : 310,593.87 = 123,082.26 : x
  2. Step 2: Convert to fraction form
    225,077.10/310,593.87 = 123,082.26/x
  3. Step 3: Cross multiply
    225,077.10x = 310,593.87 × 123,082.26
  4. Step 4: Simplify right side
    225,077.10x = 38,228,595,461.75
  5. Step 5: Solve for x
    x = 38,228,595,461.75/225,077.10
  6. Step 6: Final answer
    x = 169,846.67

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Why These Related Problems?

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