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Finding the Fourth Proportional to 289,116.30, 433,715.76 and 89,453.73

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Solution

The fourth proportional to 289,116.30, 433,715.76 and 89,453.73 is: 134,193.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,116.30 : 433,715.76 = 89,453.73 : x
  2. Step 2: Convert to fraction form
    289,116.30/433,715.76 = 89,453.73/x
  3. Step 3: Cross multiply
    289,116.30x = 433,715.76 × 89,453.73
  4. Step 4: Simplify right side
    289,116.30x = 38,797,492,491.78
  5. Step 5: Solve for x
    x = 38,797,492,491.78/289,116.30
  6. Step 6: Final answer
    x = 134,193.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.