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Finding the Fourth Proportional to 199,954.22, 299,870.78 and 105,133.32

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Solution

The fourth proportional to 199,954.22, 299,870.78 and 105,133.32 is: 157,668.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,954.22 : 299,870.78 = 105,133.32 : x
  2. Step 2: Convert to fraction form
    199,954.22/299,870.78 = 105,133.32/x
  3. Step 3: Cross multiply
    199,954.22x = 299,870.78 × 105,133.32
  4. Step 4: Simplify right side
    199,954.22x = 31,526,410,146.72
  5. Step 5: Solve for x
    x = 31,526,410,146.72/199,954.22
  6. Step 6: Final answer
    x = 157,668.14

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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.