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Finding the Fourth Proportional to 213,351.11, 294,423.61 and 117,857.84

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Solution

The fourth proportional to 213,351.11, 294,423.61 and 117,857.84 is: 162,643.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,351.11 : 294,423.61 = 117,857.84 : x
  2. Step 2: Convert to fraction form
    213,351.11/294,423.61 = 117,857.84/x
  3. Step 3: Cross multiply
    213,351.11x = 294,423.61 × 117,857.84
  4. Step 4: Simplify right side
    213,351.11x = 34,700,129,173.82
  5. Step 5: Solve for x
    x = 34,700,129,173.82/213,351.11
  6. Step 6: Final answer
    x = 162,643.30

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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.