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Finding the Fourth Proportional to 177,336, 244,723.68 and 97,848

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Solution

The fourth proportional to 177,336, 244,723.68 and 97,848 is: 135,030.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,336 : 244,723.68 = 97,848 : x
  2. Step 2: Convert to fraction form
    177,336/244,723.68 = 97,848/x
  3. Step 3: Cross multiply
    177,336x = 244,723.68 × 97,848
  4. Step 4: Simplify right side
    177,336x = 23,945,722,640.64
  5. Step 5: Solve for x
    x = 23,945,722,640.64/177,336
  6. Step 6: Final answer
    x = 135,030.24

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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.