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Finding the Fourth Proportional to 213,783.43, 294,892.56 and 141,187

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Solution

The fourth proportional to 213,783.43, 294,892.56 and 141,187 is: 194,753.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,783.43 : 294,892.56 = 141,187 : x
  2. Step 2: Convert to fraction form
    213,783.43/294,892.56 = 141,187/x
  3. Step 3: Cross multiply
    213,783.43x = 294,892.56 × 141,187
  4. Step 4: Simplify right side
    213,783.43x = 41,634,995,868.72
  5. Step 5: Solve for x
    x = 41,634,995,868.72/213,783.43
  6. Step 6: Final answer
    x = 194,753.15

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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.