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Finding the Fourth Proportional to 207,642.38, 311,502.35 and 142,999.38

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Solution

The fourth proportional to 207,642.38, 311,502.35 and 142,999.38 is: 214,525.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,642.38 : 311,502.35 = 142,999.38 : x
  2. Step 2: Convert to fraction form
    207,642.38/311,502.35 = 142,999.38/x
  3. Step 3: Cross multiply
    207,642.38x = 311,502.35 × 142,999.38
  4. Step 4: Simplify right side
    207,642.38x = 44,544,642,203.55
  5. Step 5: Solve for x
    x = 44,544,642,203.55/207,642.38
  6. Step 6: Final answer
    x = 214,525.78

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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.