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Finding the Fourth Proportional to 185,534.82, 256,278.33 and 137,235

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Solution

The fourth proportional to 185,534.82, 256,278.33 and 137,235 is: 189,562.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,534.82 : 256,278.33 = 137,235 : x
  2. Step 2: Convert to fraction form
    185,534.82/256,278.33 = 137,235/x
  3. Step 3: Cross multiply
    185,534.82x = 256,278.33 × 137,235
  4. Step 4: Simplify right side
    185,534.82x = 35,170,356,617.55
  5. Step 5: Solve for x
    x = 35,170,356,617.55/185,534.82
  6. Step 6: Final answer
    x = 189,562.03

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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.