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Finding the Fourth Proportional to 151,852, 227,778.06 and 41,044

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Solution

The fourth proportional to 151,852, 227,778.06 and 41,044 is: 61,566.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,852 : 227,778.06 = 41,044 : x
  2. Step 2: Convert to fraction form
    151,852/227,778.06 = 41,044/x
  3. Step 3: Cross multiply
    151,852x = 227,778.06 × 41,044
  4. Step 4: Simplify right side
    151,852x = 9,348,922,694.64
  5. Step 5: Solve for x
    x = 9,348,922,694.64/151,852
  6. Step 6: Final answer
    x = 61,566.02

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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.