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Finding the Fourth Proportional to 289,151.96, 433,749.85 and 89,492.54

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Solution

The fourth proportional to 289,151.96, 433,749.85 and 89,492.54 is: 134,245.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,151.96 : 433,749.85 = 89,492.54 : x
  2. Step 2: Convert to fraction form
    289,151.96/433,749.85 = 89,492.54/x
  3. Step 3: Cross multiply
    289,151.96x = 433,749.85 × 89,492.54
  4. Step 4: Simplify right side
    289,151.96x = 38,817,373,408.64
  5. Step 5: Solve for x
    x = 38,817,373,408.64/289,151.96
  6. Step 6: Final answer
    x = 134,245.59

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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.