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Finding the Fourth Proportional to 264,656.80, 397,100.40 and 133,328.80

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Solution

The fourth proportional to 264,656.80, 397,100.40 and 133,328.80 is: 200,051.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,656.80 : 397,100.40 = 133,328.80 : x
  2. Step 2: Convert to fraction form
    264,656.80/397,100.40 = 133,328.80/x
  3. Step 3: Cross multiply
    264,656.80x = 397,100.40 × 133,328.80
  4. Step 4: Simplify right side
    264,656.80x = 52,944,919,811.52
  5. Step 5: Solve for x
    x = 52,944,919,811.52/264,656.80
  6. Step 6: Final answer
    x = 200,051.24

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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.