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Finding the Fourth Proportional to 210,175.38, 290,048.40 and 119,544.39

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Solution

The fourth proportional to 210,175.38, 290,048.40 and 119,544.39 is: 164,974.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,175.38 : 290,048.40 = 119,544.39 : x
  2. Step 2: Convert to fraction form
    210,175.38/290,048.40 = 119,544.39/x
  3. Step 3: Cross multiply
    210,175.38x = 290,048.40 × 119,544.39
  4. Step 4: Simplify right side
    210,175.38x = 34,673,659,048.48
  5. Step 5: Solve for x
    x = 34,673,659,048.48/210,175.38
  6. Step 6: Final answer
    x = 164,974.88

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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.