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Finding the Fourth Proportional to 135,509.98, 203,334.36 and 64,512.94

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Solution

The fourth proportional to 135,509.98, 203,334.36 and 64,512.94 is: 96,802.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,509.98 : 203,334.36 = 64,512.94 : x
  2. Step 2: Convert to fraction form
    135,509.98/203,334.36 = 64,512.94/x
  3. Step 3: Cross multiply
    135,509.98x = 203,334.36 × 64,512.94
  4. Step 4: Simplify right side
    135,509.98x = 13,117,697,366.62
  5. Step 5: Solve for x
    x = 13,117,697,366.62/135,509.98
  6. Step 6: Final answer
    x = 96,802.44

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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.