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Finding the Fourth Proportional to 212,993.90, 293,926.86 and 117,500.57

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Solution

The fourth proportional to 212,993.90, 293,926.86 and 117,500.57 is: 162,148.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,993.90 : 293,926.86 = 117,500.57 : x
  2. Step 2: Convert to fraction form
    212,993.90/293,926.86 = 117,500.57/x
  3. Step 3: Cross multiply
    212,993.90x = 293,926.86 × 117,500.57
  4. Step 4: Simplify right side
    212,993.90x = 34,536,573,588.31
  5. Step 5: Solve for x
    x = 34,536,573,588.31/212,993.90
  6. Step 6: Final answer
    x = 162,148.18

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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.