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Finding the Fourth Proportional to 288,765.72, 433,197.90 and 89,082.36

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Solution

The fourth proportional to 288,765.72, 433,197.90 and 89,082.36 is: 133,638.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,765.72 : 433,197.90 = 89,082.36 : x
  2. Step 2: Convert to fraction form
    288,765.72/433,197.90 = 89,082.36/x
  3. Step 3: Cross multiply
    288,765.72x = 433,197.90 × 89,082.36
  4. Step 4: Simplify right side
    288,765.72x = 38,590,291,279.04
  5. Step 5: Solve for x
    x = 38,590,291,279.04/288,765.72
  6. Step 6: Final answer
    x = 133,638.75

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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.