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Finding the Fourth Proportional to 213,057.46, 294,020.13 and 117,566.92

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Solution

The fourth proportional to 213,057.46, 294,020.13 and 117,566.92 is: 162,242.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,057.46 : 294,020.13 = 117,566.92 : x
  2. Step 2: Convert to fraction form
    213,057.46/294,020.13 = 117,566.92/x
  3. Step 3: Cross multiply
    213,057.46x = 294,020.13 × 117,566.92
  4. Step 4: Simplify right side
    213,057.46x = 34,567,041,102.10
  5. Step 5: Solve for x
    x = 34,567,041,102.10/213,057.46
  6. Step 6: Final answer
    x = 162,242.81

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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.