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Finding the Fourth Proportional to 161,722.60, 242,583.90 and 102,819.40

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Solution

The fourth proportional to 161,722.60, 242,583.90 and 102,819.40 is: 154,229.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,722.60 : 242,583.90 = 102,819.40 : x
  2. Step 2: Convert to fraction form
    161,722.60/242,583.90 = 102,819.40/x
  3. Step 3: Cross multiply
    161,722.60x = 242,583.90 × 102,819.40
  4. Step 4: Simplify right side
    161,722.60x = 24,942,331,047.66
  5. Step 5: Solve for x
    x = 24,942,331,047.66/161,722.60
  6. Step 6: Final answer
    x = 154,229.10

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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.