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Finding the Fourth Proportional to 135,477.93, 203,215.98 and 105,920.64

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Solution

The fourth proportional to 135,477.93, 203,215.98 and 105,920.64 is: 158,880.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,477.93 : 203,215.98 = 105,920.64 : x
  2. Step 2: Convert to fraction form
    135,477.93/203,215.98 = 105,920.64/x
  3. Step 3: Cross multiply
    135,477.93x = 203,215.98 × 105,920.64
  4. Step 4: Simplify right side
    135,477.93x = 21,524,766,659.83
  5. Step 5: Solve for x
    x = 21,524,766,659.83/135,477.93
  6. Step 6: Final answer
    x = 158,880.24

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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.