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Finding the Fourth Proportional to 127,298.50, 190,947.75 and 44,192.50

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Solution

The fourth proportional to 127,298.50, 190,947.75 and 44,192.50 is: 66,288.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,298.50 : 190,947.75 = 44,192.50 : x
  2. Step 2: Convert to fraction form
    127,298.50/190,947.75 = 44,192.50/x
  3. Step 3: Cross multiply
    127,298.50x = 190,947.75 × 44,192.50
  4. Step 4: Simplify right side
    127,298.50x = 8,438,458,441.88
  5. Step 5: Solve for x
    x = 8,438,458,441.88/127,298.50
  6. Step 6: Final answer
    x = 66,288.75

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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.