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Finding the Fourth Proportional to 223,111.78, 307,786.16 and 147,723.46

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Solution

The fourth proportional to 223,111.78, 307,786.16 and 147,723.46 is: 203,786.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,111.78 : 307,786.16 = 147,723.46 : x
  2. Step 2: Convert to fraction form
    223,111.78/307,786.16 = 147,723.46/x
  3. Step 3: Cross multiply
    223,111.78x = 307,786.16 × 147,723.46
  4. Step 4: Simplify right side
    223,111.78x = 45,467,236,495.31
  5. Step 5: Solve for x
    x = 45,467,236,495.31/223,111.78
  6. Step 6: Final answer
    x = 203,786.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.