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Finding the Fourth Proportional to 133,055.72, 199,525.02 and 49,891.40

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Solution

The fourth proportional to 133,055.72, 199,525.02 and 49,891.40 is: 74,815.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,055.72 : 199,525.02 = 49,891.40 : x
  2. Step 2: Convert to fraction form
    133,055.72/199,525.02 = 49,891.40/x
  3. Step 3: Cross multiply
    133,055.72x = 199,525.02 × 49,891.40
  4. Step 4: Simplify right side
    133,055.72x = 9,954,582,582.83
  5. Step 5: Solve for x
    x = 9,954,582,582.83/133,055.72
  6. Step 6: Final answer
    x = 74,815.14

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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.