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Finding the Fourth Proportional to 207,035.64, 285,850.82 and 158,552.02

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Solution

The fourth proportional to 207,035.64, 285,850.82 and 158,552.02 is: 218,910.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,035.64 : 285,850.82 = 158,552.02 : x
  2. Step 2: Convert to fraction form
    207,035.64/285,850.82 = 158,552.02/x
  3. Step 3: Cross multiply
    207,035.64x = 285,850.82 × 158,552.02
  4. Step 4: Simplify right side
    207,035.64x = 45,322,224,929.66
  5. Step 5: Solve for x
    x = 45,322,224,929.66/207,035.64
  6. Step 6: Final answer
    x = 218,910.26

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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.