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Finding the Fourth Proportional to 212,400, 293,131.52 and 116,926.08

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Solution

The fourth proportional to 212,400, 293,131.52 and 116,926.08 is: 161,368.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,400 : 293,131.52 = 116,926.08 : x
  2. Step 2: Convert to fraction form
    212,400/293,131.52 = 116,926.08/x
  3. Step 3: Cross multiply
    212,400x = 293,131.52 × 116,926.08
  4. Step 4: Simplify right side
    212,400x = 34,274,719,558.04
  5. Step 5: Solve for x
    x = 34,274,719,558.04/212,400
  6. Step 6: Final answer
    x = 161,368.74

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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.