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Finding the Fourth Proportional to 210,175.31, 290,048.32 and 119,544.31

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Solution

The fourth proportional to 210,175.31, 290,048.32 and 119,544.31 is: 164,974.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,175.31 : 290,048.32 = 119,544.31 : x
  2. Step 2: Convert to fraction form
    210,175.31/290,048.32 = 119,544.31/x
  3. Step 3: Cross multiply
    210,175.31x = 290,048.32 × 119,544.31
  4. Step 4: Simplify right side
    210,175.31x = 34,673,625,257.08
  5. Step 5: Solve for x
    x = 34,673,625,257.08/210,175.31
  6. Step 6: Final answer
    x = 164,974.78

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1.5x scale

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.