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Finding the Fourth Proportional to 214,488.69, 296,029.80 and 119,026.14

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Solution

The fourth proportional to 214,488.69, 296,029.80 and 119,026.14 is: 164,275.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,488.69 : 296,029.80 = 119,026.14 : x
  2. Step 2: Convert to fraction form
    214,488.69/296,029.80 = 119,026.14/x
  3. Step 3: Cross multiply
    214,488.69x = 296,029.80 × 119,026.14
  4. Step 4: Simplify right side
    214,488.69x = 35,235,284,418.97
  5. Step 5: Solve for x
    x = 35,235,284,418.97/214,488.69
  6. Step 6: Final answer
    x = 164,275.72

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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.