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Finding the Fourth Proportional to 151,489.08, 227,261.16 and 51,644.16

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Solution

The fourth proportional to 151,489.08, 227,261.16 and 51,644.16 is: 77,475.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,489.08 : 227,261.16 = 51,644.16 : x
  2. Step 2: Convert to fraction form
    151,489.08/227,261.16 = 51,644.16/x
  3. Step 3: Cross multiply
    151,489.08x = 227,261.16 × 51,644.16
  4. Step 4: Simplify right side
    151,489.08x = 11,736,711,708.83
  5. Step 5: Solve for x
    x = 11,736,711,708.83/151,489.08
  6. Step 6: Final answer
    x = 77,475.63

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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.