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Finding the Fourth Proportional to 264,510, 396,642.15 and 96,008.94

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Solution

The fourth proportional to 264,510, 396,642.15 and 96,008.94 is: 143,968.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,510 : 396,642.15 = 96,008.94 : x
  2. Step 2: Convert to fraction form
    264,510/396,642.15 = 96,008.94/x
  3. Step 3: Cross multiply
    264,510x = 396,642.15 × 96,008.94
  4. Step 4: Simplify right side
    264,510x = 38,081,192,380.82
  5. Step 5: Solve for x
    x = 38,081,192,380.82/264,510
  6. Step 6: Final answer
    x = 143,968.82

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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.