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Finding the Fourth Proportional to 152,435.54, 210,358.22 and 84,451.03

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Solution

The fourth proportional to 152,435.54, 210,358.22 and 84,451.03 is: 116,540.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,435.54 : 210,358.22 = 84,451.03 : x
  2. Step 2: Convert to fraction form
    152,435.54/210,358.22 = 84,451.03/x
  3. Step 3: Cross multiply
    152,435.54x = 210,358.22 × 84,451.03
  4. Step 4: Simplify right side
    152,435.54x = 17,764,967,399.82
  5. Step 5: Solve for x
    x = 17,764,967,399.82/152,435.54
  6. Step 6: Final answer
    x = 116,540.85

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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.