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Finding the Fourth Proportional to 151,573.96, 227,378.50 and 50,381.06

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Solution

The fourth proportional to 151,573.96, 227,378.50 and 50,381.06 is: 75,577.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,573.96 : 227,378.50 = 50,381.06 : x
  2. Step 2: Convert to fraction form
    151,573.96/227,378.50 = 50,381.06/x
  3. Step 3: Cross multiply
    151,573.96x = 227,378.50 × 50,381.06
  4. Step 4: Simplify right side
    151,573.96x = 11,455,569,851.21
  5. Step 5: Solve for x
    x = 11,455,569,851.21/151,573.96
  6. Step 6: Final answer
    x = 75,577.43

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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.