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Finding the Fourth Proportional to 264,883.20, 397,785.60 and 140,467.20

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Solution

The fourth proportional to 264,883.20, 397,785.60 and 140,467.20 is: 210,945.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,883.20 : 397,785.60 = 140,467.20 : x
  2. Step 2: Convert to fraction form
    264,883.20/397,785.60 = 140,467.20/x
  3. Step 3: Cross multiply
    264,883.20x = 397,785.60 × 140,467.20
  4. Step 4: Simplify right side
    264,883.20x = 55,875,829,432.32
  5. Step 5: Solve for x
    x = 55,875,829,432.32/264,883.20
  6. Step 6: Final answer
    x = 210,945.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.