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Finding the Fourth Proportional to 177,795.64, 245,242.38 and 114,032.44

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Solution

The fourth proportional to 177,795.64, 245,242.38 and 114,032.44 is: 157,290.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,795.64 : 245,242.38 = 114,032.44 : x
  2. Step 2: Convert to fraction form
    177,795.64/245,242.38 = 114,032.44/x
  3. Step 3: Cross multiply
    177,795.64x = 245,242.38 × 114,032.44
  4. Step 4: Simplify right side
    177,795.64x = 27,965,586,982.81
  5. Step 5: Solve for x
    x = 27,965,586,982.81/177,795.64
  6. Step 6: Final answer
    x = 157,290.62

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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.