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Finding the Fourth Proportional to 199,584, 275,426.28 and 110,160

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Solution

The fourth proportional to 199,584, 275,426.28 and 110,160 is: 152,021.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,584 : 275,426.28 = 110,160 : x
  2. Step 2: Convert to fraction form
    199,584/275,426.28 = 110,160/x
  3. Step 3: Cross multiply
    199,584x = 275,426.28 × 110,160
  4. Step 4: Simplify right side
    199,584x = 30,340,959,004.80
  5. Step 5: Solve for x
    x = 30,340,959,004.80/199,584
  6. Step 6: Final answer
    x = 152,021.00

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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.