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Finding the Fourth Proportional to 214,514.61, 296,073.24 and 123,885.33

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Solution

The fourth proportional to 214,514.61, 296,073.24 and 123,885.33 is: 170,986.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,514.61 : 296,073.24 = 123,885.33 : x
  2. Step 2: Convert to fraction form
    214,514.61/296,073.24 = 123,885.33/x
  3. Step 3: Cross multiply
    214,514.61x = 296,073.24 × 123,885.33
  4. Step 4: Simplify right side
    214,514.61x = 36,679,131,041.57
  5. Step 5: Solve for x
    x = 36,679,131,041.57/214,514.61
  6. Step 6: Final answer
    x = 170,986.63

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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.