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Finding the Fourth Proportional to 224,384.40, 309,719.28 and 133,806.96

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Solution

The fourth proportional to 224,384.40, 309,719.28 and 133,806.96 is: 184,694.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,384.40 : 309,719.28 = 133,806.96 : x
  2. Step 2: Convert to fraction form
    224,384.40/309,719.28 = 133,806.96/x
  3. Step 3: Cross multiply
    224,384.40x = 309,719.28 × 133,806.96
  4. Step 4: Simplify right side
    224,384.40x = 41,442,595,310.19
  5. Step 5: Solve for x
    x = 41,442,595,310.19/224,384.40
  6. Step 6: Final answer
    x = 184,694.64

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1.5x scale

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.