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Finding the Fourth Proportional to 264,837.33, 365,509.14 and 150,134.64

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Solution

The fourth proportional to 264,837.33, 365,509.14 and 150,134.64 is: 207,204.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,837.33 : 365,509.14 = 150,134.64 : x
  2. Step 2: Convert to fraction form
    264,837.33/365,509.14 = 150,134.64/x
  3. Step 3: Cross multiply
    264,837.33x = 365,509.14 × 150,134.64
  4. Step 4: Simplify right side
    264,837.33x = 54,875,583,150.61
  5. Step 5: Solve for x
    x = 54,875,583,150.61/264,837.33
  6. Step 6: Final answer
    x = 207,204.86

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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.