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Finding the Fourth Proportional to 264,872, 397,557.68 and 96,555

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Solution

The fourth proportional to 264,872, 397,557.68 and 96,555 is: 144,923.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,872 : 397,557.68 = 96,555 : x
  2. Step 2: Convert to fraction form
    264,872/397,557.68 = 96,555/x
  3. Step 3: Cross multiply
    264,872x = 397,557.68 × 96,555
  4. Step 4: Simplify right side
    264,872x = 38,386,181,792.40
  5. Step 5: Solve for x
    x = 38,386,181,792.40/264,872
  6. Step 6: Final answer
    x = 144,923.52

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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.