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Finding the Fourth Proportional to 264,868.38, 365,506.48 and 150,145.38

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Solution

The fourth proportional to 264,868.38, 365,506.48 and 150,145.38 is: 207,193.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,868.38 : 365,506.48 = 150,145.38 : x
  2. Step 2: Convert to fraction form
    264,868.38/365,506.48 = 150,145.38/x
  3. Step 3: Cross multiply
    264,868.38x = 365,506.48 × 150,145.38
  4. Step 4: Simplify right side
    264,868.38x = 54,879,109,332.06
  5. Step 5: Solve for x
    x = 54,879,109,332.06/264,868.38
  6. Step 6: Final answer
    x = 207,193.89

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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.