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Finding the Fourth Proportional to 264,845.76, 397,143.60 and 96,248.64

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Solution

The fourth proportional to 264,845.76, 397,143.60 and 96,248.64 is: 144,327.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,845.76 : 397,143.60 = 96,248.64 : x
  2. Step 2: Convert to fraction form
    264,845.76/397,143.60 = 96,248.64/x
  3. Step 3: Cross multiply
    264,845.76x = 397,143.60 × 96,248.64
  4. Step 4: Simplify right side
    264,845.76x = 38,224,531,384.70
  5. Step 5: Solve for x
    x = 38,224,531,384.70/264,845.76
  6. Step 6: Final answer
    x = 144,327.52

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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.