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Finding the Fourth Proportional to 227,782.35, 314,400.44 and 130,996.78

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Solution

The fourth proportional to 227,782.35, 314,400.44 and 130,996.78 is: 180,810.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,782.35 : 314,400.44 = 130,996.78 : x
  2. Step 2: Convert to fraction form
    227,782.35/314,400.44 = 130,996.78/x
  3. Step 3: Cross multiply
    227,782.35x = 314,400.44 × 130,996.78
  4. Step 4: Simplify right side
    227,782.35x = 41,185,446,230.56
  5. Step 5: Solve for x
    x = 41,185,446,230.56/227,782.35
  6. Step 6: Final answer
    x = 180,810.52

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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.