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Finding the Fourth Proportional to 289,106.88, 399,083.40 and 190,975.92

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Solution

The fourth proportional to 289,106.88, 399,083.40 and 190,975.92 is: 263,623.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,106.88 : 399,083.40 = 190,975.92 : x
  2. Step 2: Convert to fraction form
    289,106.88/399,083.40 = 190,975.92/x
  3. Step 3: Cross multiply
    289,106.88x = 399,083.40 × 190,975.92
  4. Step 4: Simplify right side
    289,106.88x = 76,215,319,471.73
  5. Step 5: Solve for x
    x = 76,215,319,471.73/289,106.88
  6. Step 6: Final answer
    x = 263,623.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.