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Finding the Fourth Proportional to 224,803.60, 309,868.66 and 152,183.59

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Solution

The fourth proportional to 224,803.60, 309,868.66 and 152,183.59 is: 209,769.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,803.60 : 309,868.66 = 152,183.59 : x
  2. Step 2: Convert to fraction form
    224,803.60/309,868.66 = 152,183.59/x
  3. Step 3: Cross multiply
    224,803.60x = 309,868.66 × 152,183.59
  4. Step 4: Simplify right side
    224,803.60x = 47,156,925,107.29
  5. Step 5: Solve for x
    x = 47,156,925,107.29/224,803.60
  6. Step 6: Final answer
    x = 209,769.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.