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Finding the Fourth Proportional to 135,464.70, 203,328.26 and 65,393.22

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Solution

The fourth proportional to 135,464.70, 203,328.26 and 65,393.22 is: 98,153.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,464.70 : 203,328.26 = 65,393.22 : x
  2. Step 2: Convert to fraction form
    135,464.70/203,328.26 = 65,393.22/x
  3. Step 3: Cross multiply
    135,464.70x = 203,328.26 × 65,393.22
  4. Step 4: Simplify right side
    135,464.70x = 13,296,289,638.40
  5. Step 5: Solve for x
    x = 13,296,289,638.40/135,464.70
  6. Step 6: Final answer
    x = 98,153.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.