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Finding the Fourth Proportional to 264,580.67, 365,174.46 and 157,129.94

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Solution

The fourth proportional to 264,580.67, 365,174.46 and 157,129.94 is: 216,870.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,580.67 : 365,174.46 = 157,129.94 : x
  2. Step 2: Convert to fraction form
    264,580.67/365,174.46 = 157,129.94/x
  3. Step 3: Cross multiply
    264,580.67x = 365,174.46 × 157,129.94
  4. Step 4: Simplify right side
    264,580.67x = 57,379,840,989.33
  5. Step 5: Solve for x
    x = 57,379,840,989.33/264,580.67
  6. Step 6: Final answer
    x = 216,870.87

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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.