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Finding the Fourth Proportional to 185,673.06, 256,189.40 and 109,164.24

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Solution

The fourth proportional to 185,673.06, 256,189.40 and 109,164.24 is: 150,623.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,673.06 : 256,189.40 = 109,164.24 : x
  2. Step 2: Convert to fraction form
    185,673.06/256,189.40 = 109,164.24/x
  3. Step 3: Cross multiply
    185,673.06x = 256,189.40 × 109,164.24
  4. Step 4: Simplify right side
    185,673.06x = 27,966,721,010.60
  5. Step 5: Solve for x
    x = 27,966,721,010.60/185,673.06
  6. Step 6: Final answer
    x = 150,623.47

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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.