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Finding the Fourth Proportional to 224,082.60, 335,828.70 and 164,639.40

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Solution

The fourth proportional to 224,082.60, 335,828.70 and 164,639.40 is: 246,742.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,082.60 : 335,828.70 = 164,639.40 : x
  2. Step 2: Convert to fraction form
    224,082.60/335,828.70 = 164,639.40/x
  3. Step 3: Cross multiply
    224,082.60x = 335,828.70 × 164,639.40
  4. Step 4: Simplify right side
    224,082.60x = 55,290,635,670.78
  5. Step 5: Solve for x
    x = 55,290,635,670.78/224,082.60
  6. Step 6: Final answer
    x = 246,742.21

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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.