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Finding the Fourth Proportional to 218,256.48, 301,167 and 137,653.56

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Solution

The fourth proportional to 218,256.48, 301,167 and 137,653.56 is: 189,944.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,256.48 : 301,167 = 137,653.56 : x
  2. Step 2: Convert to fraction form
    218,256.48/301,167 = 137,653.56/x
  3. Step 3: Cross multiply
    218,256.48x = 301,167 × 137,653.56
  4. Step 4: Simplify right side
    218,256.48x = 41,456,709,704.52
  5. Step 5: Solve for x
    x = 41,456,709,704.52/218,256.48
  6. Step 6: Final answer
    x = 189,944.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.