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Finding the Fourth Proportional to 264,832.78, 365,441.88 and 157,382.14

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Solution

The fourth proportional to 264,832.78, 365,441.88 and 157,382.14 is: 217,171.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,832.78 : 365,441.88 = 157,382.14 : x
  2. Step 2: Convert to fraction form
    264,832.78/365,441.88 = 157,382.14/x
  3. Step 3: Cross multiply
    264,832.78x = 365,441.88 × 157,382.14
  4. Step 4: Simplify right side
    264,832.78x = 57,514,025,120.02
  5. Step 5: Solve for x
    x = 57,514,025,120.02/264,832.78
  6. Step 6: Final answer
    x = 217,171.10

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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.