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Finding the Fourth Proportional to 185,782.34, 256,371.33 and 105,208.16

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Solution

The fourth proportional to 185,782.34, 256,371.33 and 105,208.16 is: 145,182.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,782.34 : 256,371.33 = 105,208.16 : x
  2. Step 2: Convert to fraction form
    185,782.34/256,371.33 = 105,208.16/x
  3. Step 3: Cross multiply
    185,782.34x = 256,371.33 × 105,208.16
  4. Step 4: Simplify right side
    185,782.34x = 26,972,355,906.05
  5. Step 5: Solve for x
    x = 26,972,355,906.05/185,782.34
  6. Step 6: Final answer
    x = 145,182.56

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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.