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Finding the Fourth Proportional to 264,148.80, 396,274.40 and 132,820.80

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Solution

The fourth proportional to 264,148.80, 396,274.40 and 132,820.80 is: 199,256.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,148.80 : 396,274.40 = 132,820.80 : x
  2. Step 2: Convert to fraction form
    264,148.80/396,274.40 = 132,820.80/x
  3. Step 3: Cross multiply
    264,148.80x = 396,274.40 × 132,820.80
  4. Step 4: Simplify right side
    264,148.80x = 52,633,482,827.52
  5. Step 5: Solve for x
    x = 52,633,482,827.52/264,148.80
  6. Step 6: Final answer
    x = 199,256.94

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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.