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Finding the Fourth Proportional to 224,186.64, 309,463.92 and 164,233.45

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Solution

The fourth proportional to 224,186.64, 309,463.92 and 164,233.45 is: 226,705.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,186.64 : 309,463.92 = 164,233.45 : x
  2. Step 2: Convert to fraction form
    224,186.64/309,463.92 = 164,233.45/x
  3. Step 3: Cross multiply
    224,186.64x = 309,463.92 × 164,233.45
  4. Step 4: Simplify right side
    224,186.64x = 50,824,326,286.68
  5. Step 5: Solve for x
    x = 50,824,326,286.68/224,186.64
  6. Step 6: Final answer
    x = 226,705.42

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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.