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Finding the Fourth Proportional to 289,132.34, 434,096.50 and 147,073.75

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Solution

The fourth proportional to 289,132.34, 434,096.50 and 147,073.75 is: 220,813.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,132.34 : 434,096.50 = 147,073.75 : x
  2. Step 2: Convert to fraction form
    289,132.34/434,096.50 = 147,073.75/x
  3. Step 3: Cross multiply
    289,132.34x = 434,096.50 × 147,073.75
  4. Step 4: Simplify right side
    289,132.34x = 63,844,200,116.88
  5. Step 5: Solve for x
    x = 63,844,200,116.88/289,132.34
  6. Step 6: Final answer
    x = 220,813.07

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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.