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Finding the Fourth Proportional to 264,835.32, 365,506.38 and 150,132.64

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Solution

The fourth proportional to 264,835.32, 365,506.38 and 150,132.64 is: 207,202.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,835.32 : 365,506.38 = 150,132.64 : x
  2. Step 2: Convert to fraction form
    264,835.32/365,506.38 = 150,132.64/x
  3. Step 3: Cross multiply
    264,835.32x = 365,506.38 × 150,132.64
  4. Step 4: Simplify right side
    264,835.32x = 54,874,437,766.24
  5. Step 5: Solve for x
    x = 54,874,437,766.24/264,835.32
  6. Step 6: Final answer
    x = 207,202.11

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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.