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Finding the Fourth Proportional to 210,310.38, 290,217.42 and 119,664.51

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Solution

The fourth proportional to 210,310.38, 290,217.42 and 119,664.51 is: 165,130.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,310.38 : 290,217.42 = 119,664.51 : x
  2. Step 2: Convert to fraction form
    210,310.38/290,217.42 = 119,664.51/x
  3. Step 3: Cross multiply
    210,310.38x = 290,217.42 × 119,664.51
  4. Step 4: Simplify right side
    210,310.38x = 34,728,725,357.76
  5. Step 5: Solve for x
    x = 34,728,725,357.76/210,310.38
  6. Step 6: Final answer
    x = 165,130.82

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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.