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Finding the Fourth Proportional to 264,224.74, 364,629.18 and 156,883

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Solution

The fourth proportional to 264,224.74, 364,629.18 and 156,883 is: 216,497.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,224.74 : 364,629.18 = 156,883 : x
  2. Step 2: Convert to fraction form
    264,224.74/364,629.18 = 156,883/x
  3. Step 3: Cross multiply
    264,224.74x = 364,629.18 × 156,883
  4. Step 4: Simplify right side
    264,224.74x = 57,204,119,645.94
  5. Step 5: Solve for x
    x = 57,204,119,645.94/264,224.74
  6. Step 6: Final answer
    x = 216,497.97

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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.