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Finding the Fourth Proportional to 143,294, 214,941 and 55,742

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Solution

The fourth proportional to 143,294, 214,941 and 55,742 is: 83,613

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,294 : 214,941 = 55,742 : x
  2. Step 2: Convert to fraction form
    143,294/214,941 = 55,742/x
  3. Step 3: Cross multiply
    143,294x = 214,941 × 55,742
  4. Step 4: Simplify right side
    143,294x = 11,981,241,222
  5. Step 5: Solve for x
    x = 11,981,241,222/143,294
  6. Step 6: Final answer
    x = 83,613

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.