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Finding the Fourth Proportional to 224,812.72, 310,105.83 and 148,304.64

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Solution

The fourth proportional to 224,812.72, 310,105.83 and 148,304.64 is: 204,570.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,812.72 : 310,105.83 = 148,304.64 : x
  2. Step 2: Convert to fraction form
    224,812.72/310,105.83 = 148,304.64/x
  3. Step 3: Cross multiply
    224,812.72x = 310,105.83 × 148,304.64
  4. Step 4: Simplify right side
    224,812.72x = 45,990,133,480.05
  5. Step 5: Solve for x
    x = 45,990,133,480.05/224,812.72
  6. Step 6: Final answer
    x = 204,570.87

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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.