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Finding the Fourth Proportional to 264,951.32, 397,461.24 and 96,445.88

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Solution

The fourth proportional to 264,951.32, 397,461.24 and 96,445.88 is: 144,681.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,951.32 : 397,461.24 = 96,445.88 : x
  2. Step 2: Convert to fraction form
    264,951.32/397,461.24 = 96,445.88/x
  3. Step 3: Cross multiply
    264,951.32x = 397,461.24 × 96,445.88
  4. Step 4: Simplify right side
    264,951.32x = 38,333,499,057.69
  5. Step 5: Solve for x
    x = 38,333,499,057.69/264,951.32
  6. Step 6: Final answer
    x = 144,681.29

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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.