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Finding the Fourth Proportional to 151,865.16, 227,758.32 and 45,224.16

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Solution

The fourth proportional to 151,865.16, 227,758.32 and 45,224.16 is: 67,824.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,865.16 : 227,758.32 = 45,224.16 : x
  2. Step 2: Convert to fraction form
    151,865.16/227,758.32 = 45,224.16/x
  3. Step 3: Cross multiply
    151,865.16x = 227,758.32 × 45,224.16
  4. Step 4: Simplify right side
    151,865.16x = 10,300,178,705.01
  5. Step 5: Solve for x
    x = 10,300,178,705.01/151,865.16
  6. Step 6: Final answer
    x = 67,824.50

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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.