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Finding the Fourth Proportional to 150,270.32, 207,358.68 and 89,828.96

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Solution

The fourth proportional to 150,270.32, 207,358.68 and 89,828.96 is: 123,955.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,270.32 : 207,358.68 = 89,828.96 : x
  2. Step 2: Convert to fraction form
    150,270.32/207,358.68 = 89,828.96/x
  3. Step 3: Cross multiply
    150,270.32x = 207,358.68 × 89,828.96
  4. Step 4: Simplify right side
    150,270.32x = 18,626,814,571.37
  5. Step 5: Solve for x
    x = 18,626,814,571.37/150,270.32
  6. Step 6: Final answer
    x = 123,955.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.