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Finding the Fourth Proportional to 224,582.70, 336,874.05 and 161,269.05

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Solution

The fourth proportional to 224,582.70, 336,874.05 and 161,269.05 is: 241,903.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,582.70 : 336,874.05 = 161,269.05 : x
  2. Step 2: Convert to fraction form
    224,582.70/336,874.05 = 161,269.05/x
  3. Step 3: Cross multiply
    224,582.70x = 336,874.05 × 161,269.05
  4. Step 4: Simplify right side
    224,582.70x = 54,327,358,013.15
  5. Step 5: Solve for x
    x = 54,327,358,013.15/224,582.70
  6. Step 6: Final answer
    x = 241,903.58

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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.