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Finding the Fourth Proportional to 185,770.08, 256,371.75 and 105,201

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Solution

The fourth proportional to 185,770.08, 256,371.75 and 105,201 is: 145,182.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,770.08 : 256,371.75 = 105,201 : x
  2. Step 2: Convert to fraction form
    185,770.08/256,371.75 = 105,201/x
  3. Step 3: Cross multiply
    185,770.08x = 256,371.75 × 105,201
  4. Step 4: Simplify right side
    185,770.08x = 26,970,564,471.75
  5. Step 5: Solve for x
    x = 26,970,564,471.75/185,770.08
  6. Step 6: Final answer
    x = 145,182.50

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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.