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Finding the Fourth Proportional to 207,804.88, 311,629.56 and 163,948.24

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Solution

The fourth proportional to 207,804.88, 311,629.56 and 163,948.24 is: 245,861.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,804.88 : 311,629.56 = 163,948.24 : x
  2. Step 2: Convert to fraction form
    207,804.88/311,629.56 = 163,948.24/x
  3. Step 3: Cross multiply
    207,804.88x = 311,629.56 × 163,948.24
  4. Step 4: Simplify right side
    207,804.88x = 51,091,117,893.97
  5. Step 5: Solve for x
    x = 51,091,117,893.97/207,804.88
  6. Step 6: Final answer
    x = 245,861.01

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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.