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Finding the Fourth Proportional to 223,285.29, 334,731.11 and 82,945.50

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Solution

The fourth proportional to 223,285.29, 334,731.11 and 82,945.50 is: 124,345.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,285.29 : 334,731.11 = 82,945.50 : x
  2. Step 2: Convert to fraction form
    223,285.29/334,731.11 = 82,945.50/x
  3. Step 3: Cross multiply
    223,285.29x = 334,731.11 × 82,945.50
  4. Step 4: Simplify right side
    223,285.29x = 27,764,438,869.78
  5. Step 5: Solve for x
    x = 27,764,438,869.78/223,285.29
  6. Step 6: Final answer
    x = 124,345.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.