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Finding the Fourth Proportional to 115,434.88, 173,082.24 and 45,230.08

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Solution

The fourth proportional to 115,434.88, 173,082.24 and 45,230.08 is: 67,817.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,434.88 : 173,082.24 = 45,230.08 : x
  2. Step 2: Convert to fraction form
    115,434.88/173,082.24 = 45,230.08/x
  3. Step 3: Cross multiply
    115,434.88x = 173,082.24 × 45,230.08
  4. Step 4: Simplify right side
    115,434.88x = 7,828,523,561.78
  5. Step 5: Solve for x
    x = 7,828,523,561.78/115,434.88
  6. Step 6: Final answer
    x = 67,817.66

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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.