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Finding the Fourth Proportional to 214,514.10, 296,029.56 and 119,020.92

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Solution

The fourth proportional to 214,514.10, 296,029.56 and 119,020.92 is: 164,248.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,514.10 : 296,029.56 = 119,020.92 : x
  2. Step 2: Convert to fraction form
    214,514.10/296,029.56 = 119,020.92/x
  3. Step 3: Cross multiply
    214,514.10x = 296,029.56 × 119,020.92
  4. Step 4: Simplify right side
    214,514.10x = 35,233,710,578.40
  5. Step 5: Solve for x
    x = 35,233,710,578.40/214,514.10
  6. Step 6: Final answer
    x = 164,248.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.