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Finding the Fourth Proportional to 144,563.36, 199,471.20 and 83,300

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Solution

The fourth proportional to 144,563.36, 199,471.20 and 83,300 is: 114,938.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,563.36 : 199,471.20 = 83,300 : x
  2. Step 2: Convert to fraction form
    144,563.36/199,471.20 = 83,300/x
  3. Step 3: Cross multiply
    144,563.36x = 199,471.20 × 83,300
  4. Step 4: Simplify right side
    144,563.36x = 16,615,950,960.00
  5. Step 5: Solve for x
    x = 16,615,950,960.00/144,563.36
  6. Step 6: Final answer
    x = 114,938.88

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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.