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Finding the Fourth Proportional to 135,153.84, 202,228.56 and 84,999.72

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Solution

The fourth proportional to 135,153.84, 202,228.56 and 84,999.72 is: 127,183.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,153.84 : 202,228.56 = 84,999.72 : x
  2. Step 2: Convert to fraction form
    135,153.84/202,228.56 = 84,999.72/x
  3. Step 3: Cross multiply
    135,153.84x = 202,228.56 × 84,999.72
  4. Step 4: Simplify right side
    135,153.84x = 17,189,370,976.00
  5. Step 5: Solve for x
    x = 17,189,370,976.00/135,153.84
  6. Step 6: Final answer
    x = 127,183.74

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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.