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Finding the Fourth Proportional to 294,098.10, 441,163.89 and 83,719.50

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Solution

The fourth proportional to 294,098.10, 441,163.89 and 83,719.50 is: 125,584.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,098.10 : 441,163.89 = 83,719.50 : x
  2. Step 2: Convert to fraction form
    294,098.10/441,163.89 = 83,719.50/x
  3. Step 3: Cross multiply
    294,098.10x = 441,163.89 × 83,719.50
  4. Step 4: Simplify right side
    294,098.10x = 36,934,020,288.86
  5. Step 5: Solve for x
    x = 36,934,020,288.86/294,098.10
  6. Step 6: Final answer
    x = 125,584.02

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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.