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Finding the Fourth Proportional to 135,477.82, 203,223.21 and 65,416.06

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Solution

The fourth proportional to 135,477.82, 203,223.21 and 65,416.06 is: 98,127.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,477.82 : 203,223.21 = 65,416.06 : x
  2. Step 2: Convert to fraction form
    135,477.82/203,223.21 = 65,416.06/x
  3. Step 3: Cross multiply
    135,477.82x = 203,223.21 × 65,416.06
  4. Step 4: Simplify right side
    135,477.82x = 13,294,061,698.75
  5. Step 5: Solve for x
    x = 13,294,061,698.75/135,477.82
  6. Step 6: Final answer
    x = 98,127.22

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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.