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Finding the Fourth Proportional to 177,464.88, 244,888.56 and 96,894

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Solution

The fourth proportional to 177,464.88, 244,888.56 and 96,894 is: 133,706.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,464.88 : 244,888.56 = 96,894 : x
  2. Step 2: Convert to fraction form
    177,464.88/244,888.56 = 96,894/x
  3. Step 3: Cross multiply
    177,464.88x = 244,888.56 × 96,894
  4. Step 4: Simplify right side
    177,464.88x = 23,728,232,132.64
  5. Step 5: Solve for x
    x = 23,728,232,132.64/177,464.88
  6. Step 6: Final answer
    x = 133,706.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.