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Finding the Fourth Proportional to 226,588.68, 312,731.52 and 131,148

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Solution

The fourth proportional to 226,588.68, 312,731.52 and 131,148 is: 181,006.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,588.68 : 312,731.52 = 131,148 : x
  2. Step 2: Convert to fraction form
    226,588.68/312,731.52 = 131,148/x
  3. Step 3: Cross multiply
    226,588.68x = 312,731.52 × 131,148
  4. Step 4: Simplify right side
    226,588.68x = 41,014,113,384.96
  5. Step 5: Solve for x
    x = 41,014,113,384.96/226,588.68
  6. Step 6: Final answer
    x = 181,006.89

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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.