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Finding the Fourth Proportional to 151,642, 227,453.42 and 59,222.12

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Solution

The fourth proportional to 151,642, 227,453.42 and 59,222.12 is: 88,829.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,642 : 227,453.42 = 59,222.12 : x
  2. Step 2: Convert to fraction form
    151,642/227,453.42 = 59,222.12/x
  3. Step 3: Cross multiply
    151,642x = 227,453.42 × 59,222.12
  4. Step 4: Simplify right side
    151,642x = 13,470,273,733.65
  5. Step 5: Solve for x
    x = 13,470,273,733.65/151,642
  6. Step 6: Final answer
    x = 88,829.44

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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.