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Finding the Fourth Proportional to 212,883.30, 293,776.80 and 116,086.91

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Solution

The fourth proportional to 212,883.30, 293,776.80 and 116,086.91 is: 160,198.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,883.30 : 293,776.80 = 116,086.91 : x
  2. Step 2: Convert to fraction form
    212,883.30/293,776.80 = 116,086.91/x
  3. Step 3: Cross multiply
    212,883.30x = 293,776.80 × 116,086.91
  4. Step 4: Simplify right side
    212,883.30x = 34,103,640,941.69
  5. Step 5: Solve for x
    x = 34,103,640,941.69/212,883.30
  6. Step 6: Final answer
    x = 160,198.76

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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.