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Finding the Fourth Proportional to 289,734.60, 434,601.90 and 102,721.80

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Solution

The fourth proportional to 289,734.60, 434,601.90 and 102,721.80 is: 154,082.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,734.60 : 434,601.90 = 102,721.80 : x
  2. Step 2: Convert to fraction form
    289,734.60/434,601.90 = 102,721.80/x
  3. Step 3: Cross multiply
    289,734.60x = 434,601.90 × 102,721.80
  4. Step 4: Simplify right side
    289,734.60x = 44,643,089,451.42
  5. Step 5: Solve for x
    x = 44,643,089,451.42/289,734.60
  6. Step 6: Final answer
    x = 154,082.70

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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.