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Finding the Fourth Proportional to 264,765.37, 365,429.38 and 157,314.75

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Solution

The fourth proportional to 264,765.37, 365,429.38 and 157,314.75 is: 217,125.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,765.37 : 365,429.38 = 157,314.75 : x
  2. Step 2: Convert to fraction form
    264,765.37/365,429.38 = 157,314.75/x
  3. Step 3: Cross multiply
    264,765.37x = 365,429.38 × 157,314.75
  4. Step 4: Simplify right side
    264,765.37x = 57,487,431,557.36
  5. Step 5: Solve for x
    x = 57,487,431,557.36/264,765.37
  6. Step 6: Final answer
    x = 217,125.95

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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.