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Finding the Fourth Proportional to 264,922.25, 397,134.90 and 96,400.53

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Solution

The fourth proportional to 264,922.25, 397,134.90 and 96,400.53 is: 144,510.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,922.25 : 397,134.90 = 96,400.53 : x
  2. Step 2: Convert to fraction form
    264,922.25/397,134.90 = 96,400.53/x
  3. Step 3: Cross multiply
    264,922.25x = 397,134.90 × 96,400.53
  4. Step 4: Simplify right side
    264,922.25x = 38,284,014,841.50
  5. Step 5: Solve for x
    x = 38,284,014,841.50/264,922.25
  6. Step 6: Final answer
    x = 144,510.38

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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.