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Finding the Fourth Proportional to 213,042.42, 293,998.34 and 117,549.12

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Solution

The fourth proportional to 213,042.42, 293,998.34 and 117,549.12 is: 162,217.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,042.42 : 293,998.34 = 117,549.12 : x
  2. Step 2: Convert to fraction form
    213,042.42/293,998.34 = 117,549.12/x
  3. Step 3: Cross multiply
    213,042.42x = 293,998.34 × 117,549.12
  4. Step 4: Simplify right side
    213,042.42x = 34,559,245,560.72
  5. Step 5: Solve for x
    x = 34,559,245,560.72/213,042.42
  6. Step 6: Final answer
    x = 162,217.67

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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.