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Finding the Fourth Proportional to 207,641.37, 311,500.85 and 142,998.38

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Solution

The fourth proportional to 207,641.37, 311,500.85 and 142,998.38 is: 214,524.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,641.37 : 311,500.85 = 142,998.38 : x
  2. Step 2: Convert to fraction form
    207,641.37/311,500.85 = 142,998.38/x
  3. Step 3: Cross multiply
    207,641.37x = 311,500.85 × 142,998.38
  4. Step 4: Simplify right side
    207,641.37x = 44,544,114,646.13
  5. Step 5: Solve for x
    x = 44,544,114,646.13/207,641.37
  6. Step 6: Final answer
    x = 214,524.28

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