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Finding the Fourth Proportional to 230,678.44, 318,157.14 and 145,764.52

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Solution

The fourth proportional to 230,678.44, 318,157.14 and 145,764.52 is: 201,041.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,678.44 : 318,157.14 = 145,764.52 : x
  2. Step 2: Convert to fraction form
    230,678.44/318,157.14 = 145,764.52/x
  3. Step 3: Cross multiply
    230,678.44x = 318,157.14 × 145,764.52
  4. Step 4: Simplify right side
    230,678.44x = 46,376,022,796.67
  5. Step 5: Solve for x
    x = 46,376,022,796.67/230,678.44
  6. Step 6: Final answer
    x = 201,041.86

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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.