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Finding the Fourth Proportional to 185,822.80, 256,412.61 and 113,199.34

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Solution

The fourth proportional to 185,822.80, 256,412.61 and 113,199.34 is: 156,201.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,822.80 : 256,412.61 = 113,199.34 : x
  2. Step 2: Convert to fraction form
    185,822.80/256,412.61 = 113,199.34/x
  3. Step 3: Cross multiply
    185,822.80x = 256,412.61 × 113,199.34
  4. Step 4: Simplify right side
    185,822.80x = 29,025,738,497.19
  5. Step 5: Solve for x
    x = 29,025,738,497.19/185,822.80
  6. Step 6: Final answer
    x = 156,201.17

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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.