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Finding the Fourth Proportional to 212,658.56, 293,468.65 and 117,165.25

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Solution

The fourth proportional to 212,658.56, 293,468.65 and 117,165.25 is: 161,687.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,658.56 : 293,468.65 = 117,165.25 : x
  2. Step 2: Convert to fraction form
    212,658.56/293,468.65 = 117,165.25/x
  3. Step 3: Cross multiply
    212,658.56x = 293,468.65 × 117,165.25
  4. Step 4: Simplify right side
    212,658.56x = 34,384,327,158.59
  5. Step 5: Solve for x
    x = 34,384,327,158.59/212,658.56
  6. Step 6: Final answer
    x = 161,687.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.