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Finding the Fourth Proportional to 177,698.16, 245,199.96 and 114,122.16

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Solution

The fourth proportional to 177,698.16, 245,199.96 and 114,122.16 is: 157,473.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,698.16 : 245,199.96 = 114,122.16 : x
  2. Step 2: Convert to fraction form
    177,698.16/245,199.96 = 114,122.16/x
  3. Step 3: Cross multiply
    177,698.16x = 245,199.96 × 114,122.16
  4. Step 4: Simplify right side
    177,698.16x = 27,982,749,067.11
  5. Step 5: Solve for x
    x = 27,982,749,067.11/177,698.16
  6. Step 6: Final answer
    x = 157,473.49

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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.