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Finding the Fourth Proportional to 213,776.42, 294,882.92 and 141,179.99

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Solution

The fourth proportional to 213,776.42, 294,882.92 and 141,179.99 is: 194,743.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,776.42 : 294,882.92 = 141,179.99 : x
  2. Step 2: Convert to fraction form
    213,776.42/294,882.92 = 141,179.99/x
  3. Step 3: Cross multiply
    213,776.42x = 294,882.92 × 141,179.99
  4. Step 4: Simplify right side
    213,776.42x = 41,631,566,575.31
  5. Step 5: Solve for x
    x = 41,631,566,575.31/213,776.42
  6. Step 6: Final answer
    x = 194,743.49

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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.