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Finding the Fourth Proportional to 151,777.63, 227,669.54 and 52,052.46

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Solution

The fourth proportional to 151,777.63, 227,669.54 and 52,052.46 is: 78,079.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,777.63 : 227,669.54 = 52,052.46 : x
  2. Step 2: Convert to fraction form
    151,777.63/227,669.54 = 52,052.46/x
  3. Step 3: Cross multiply
    151,777.63x = 227,669.54 × 52,052.46
  4. Step 4: Simplify right side
    151,777.63x = 11,850,758,510.05
  5. Step 5: Solve for x
    x = 11,850,758,510.05/151,777.63
  6. Step 6: Final answer
    x = 78,079.74

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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.