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Finding the Fourth Proportional to 212,658.37, 293,468.39 and 117,165.06

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Solution

The fourth proportional to 212,658.37, 293,468.39 and 117,165.06 is: 161,687.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,658.37 : 293,468.39 = 117,165.06 : x
  2. Step 2: Convert to fraction form
    212,658.37/293,468.39 = 117,165.06/x
  3. Step 3: Cross multiply
    212,658.37x = 293,468.39 × 117,165.06
  4. Step 4: Simplify right side
    212,658.37x = 34,384,241,670.30
  5. Step 5: Solve for x
    x = 34,384,241,670.30/212,658.37
  6. Step 6: Final answer
    x = 161,687.70

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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.