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Finding the Fourth Proportional to 264,830.22, 365,583.51 and 157,435.02

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Solution

The fourth proportional to 264,830.22, 365,583.51 and 157,435.02 is: 217,330.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,830.22 : 365,583.51 = 157,435.02 : x
  2. Step 2: Convert to fraction form
    264,830.22/365,583.51 = 157,435.02/x
  3. Step 3: Cross multiply
    264,830.22x = 365,583.51 × 157,435.02
  4. Step 4: Simplify right side
    264,830.22x = 57,555,647,208.52
  5. Step 5: Solve for x
    x = 57,555,647,208.52/264,830.22
  6. Step 6: Final answer
    x = 217,330.36

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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.