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Finding the Fourth Proportional to 289,722.10, 434,583.15 and 102,709.30

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Solution

The fourth proportional to 289,722.10, 434,583.15 and 102,709.30 is: 154,063.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,722.10 : 434,583.15 = 102,709.30 : x
  2. Step 2: Convert to fraction form
    289,722.10/434,583.15 = 102,709.30/x
  3. Step 3: Cross multiply
    289,722.10x = 434,583.15 × 102,709.30
  4. Step 4: Simplify right side
    289,722.10x = 44,635,731,128.30
  5. Step 5: Solve for x
    x = 44,635,731,128.30/289,722.10
  6. Step 6: Final answer
    x = 154,063.95

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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.