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Finding the Fourth Proportional to 152,494.36, 228,244.74 and 137,944.60

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Solution

The fourth proportional to 152,494.36, 228,244.74 and 137,944.60 is: 206,467.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,494.36 : 228,244.74 = 137,944.60 : x
  2. Step 2: Convert to fraction form
    152,494.36/228,244.74 = 137,944.60/x
  3. Step 3: Cross multiply
    152,494.36x = 228,244.74 × 137,944.60
  4. Step 4: Simplify right side
    152,494.36x = 31,485,129,361.40
  5. Step 5: Solve for x
    x = 31,485,129,361.40/152,494.36
  6. Step 6: Final answer
    x = 206,467.50

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Why These Related Problems?

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