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Finding the Fourth Proportional to 177,682.34, 245,270.76 and 120,293.60

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Solution

The fourth proportional to 177,682.34, 245,270.76 and 120,293.60 is: 166,051.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,682.34 : 245,270.76 = 120,293.60 : x
  2. Step 2: Convert to fraction form
    177,682.34/245,270.76 = 120,293.60/x
  3. Step 3: Cross multiply
    177,682.34x = 245,270.76 × 120,293.60
  4. Step 4: Simplify right side
    177,682.34x = 29,504,502,695.14
  5. Step 5: Solve for x
    x = 29,504,502,695.14/177,682.34
  6. Step 6: Final answer
    x = 166,051.97

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