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Finding the Fourth Proportional to 175,401.78, 263,141.55 and 81,856.50

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Solution

The fourth proportional to 175,401.78, 263,141.55 and 81,856.50 is: 122,802.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,401.78 : 263,141.55 = 81,856.50 : x
  2. Step 2: Convert to fraction form
    175,401.78/263,141.55 = 81,856.50/x
  3. Step 3: Cross multiply
    175,401.78x = 263,141.55 × 81,856.50
  4. Step 4: Simplify right side
    175,401.78x = 21,539,846,287.58
  5. Step 5: Solve for x
    x = 21,539,846,287.58/175,401.78
  6. Step 6: Final answer
    x = 122,802.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.