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Finding the Fourth Proportional to 185,548.52, 256,190.10 and 114,024.44

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Solution

The fourth proportional to 185,548.52, 256,190.10 and 114,024.44 is: 157,435.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,548.52 : 256,190.10 = 114,024.44 : x
  2. Step 2: Convert to fraction form
    185,548.52/256,190.10 = 114,024.44/x
  3. Step 3: Cross multiply
    185,548.52x = 256,190.10 × 114,024.44
  4. Step 4: Simplify right side
    185,548.52x = 29,211,932,686.04
  5. Step 5: Solve for x
    x = 29,211,932,686.04/185,548.52
  6. Step 6: Final answer
    x = 157,435.55

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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.