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Finding the Fourth Proportional to 212,854.35, 293,740.98 and 117,364.44

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Solution

The fourth proportional to 212,854.35, 293,740.98 and 117,364.44 is: 161,964.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,854.35 : 293,740.98 = 117,364.44 : x
  2. Step 2: Convert to fraction form
    212,854.35/293,740.98 = 117,364.44/x
  3. Step 3: Cross multiply
    212,854.35x = 293,740.98 × 117,364.44
  4. Step 4: Simplify right side
    212,854.35x = 34,474,745,622.75
  5. Step 5: Solve for x
    x = 34,474,745,622.75/212,854.35
  6. Step 6: Final answer
    x = 161,964.02

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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.