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Finding the Fourth Proportional to 294,868.76, 442,041.24 and 114,912.50

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Solution

The fourth proportional to 294,868.76, 442,041.24 and 114,912.50 is: 172,266.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,868.76 : 442,041.24 = 114,912.50 : x
  2. Step 2: Convert to fraction form
    294,868.76/442,041.24 = 114,912.50/x
  3. Step 3: Cross multiply
    294,868.76x = 442,041.24 × 114,912.50
  4. Step 4: Simplify right side
    294,868.76x = 50,796,063,991.50
  5. Step 5: Solve for x
    x = 50,796,063,991.50/294,868.76
  6. Step 6: Final answer
    x = 172,266.69

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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.