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Finding the Fourth Proportional to 177,207.84, 244,552.68 and 96,642

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Solution

The fourth proportional to 177,207.84, 244,552.68 and 96,642 is: 133,369.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,207.84 : 244,552.68 = 96,642 : x
  2. Step 2: Convert to fraction form
    177,207.84/244,552.68 = 96,642/x
  3. Step 3: Cross multiply
    177,207.84x = 244,552.68 × 96,642
  4. Step 4: Simplify right side
    177,207.84x = 23,634,060,100.56
  5. Step 5: Solve for x
    x = 23,634,060,100.56/177,207.84
  6. Step 6: Final answer
    x = 133,369.16

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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.