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Finding the Fourth Proportional to 152,353.09, 210,227.56 and 85,285.09

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Solution

The fourth proportional to 152,353.09, 210,227.56 and 85,285.09 is: 117,682.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,353.09 : 210,227.56 = 85,285.09 : x
  2. Step 2: Convert to fraction form
    152,353.09/210,227.56 = 85,285.09/x
  3. Step 3: Cross multiply
    152,353.09x = 210,227.56 × 85,285.09
  4. Step 4: Simplify right side
    152,353.09x = 17,929,276,375.08
  5. Step 5: Solve for x
    x = 17,929,276,375.08/152,353.09
  6. Step 6: Final answer
    x = 117,682.39

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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.