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Finding the Fourth Proportional to 212,784.44, 293,642.44 and 117,292.73

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Solution

The fourth proportional to 212,784.44, 293,642.44 and 117,292.73 is: 161,863.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,784.44 : 293,642.44 = 117,292.73 : x
  2. Step 2: Convert to fraction form
    212,784.44/293,642.44 = 117,292.73/x
  3. Step 3: Cross multiply
    212,784.44x = 293,642.44 × 117,292.73
  4. Step 4: Simplify right side
    212,784.44x = 34,442,121,670.02
  5. Step 5: Solve for x
    x = 34,442,121,670.02/212,784.44
  6. Step 6: Final answer
    x = 161,863.91

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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.