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Finding the Fourth Proportional to 177,794.64, 245,241 and 114,031.44

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Solution

The fourth proportional to 177,794.64, 245,241 and 114,031.44 is: 157,289.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,794.64 : 245,241 = 114,031.44 : x
  2. Step 2: Convert to fraction form
    177,794.64/245,241 = 114,031.44/x
  3. Step 3: Cross multiply
    177,794.64x = 245,241 × 114,031.44
  4. Step 4: Simplify right side
    177,794.64x = 27,965,184,377.04
  5. Step 5: Solve for x
    x = 27,965,184,377.04/177,794.64
  6. Step 6: Final answer
    x = 157,289.24

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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.