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Finding the Fourth Proportional to 193,283.94, 289,945.74 and 66,924

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Solution

The fourth proportional to 193,283.94, 289,945.74 and 66,924 is: 100,392.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,283.94 : 289,945.74 = 66,924 : x
  2. Step 2: Convert to fraction form
    193,283.94/289,945.74 = 66,924/x
  3. Step 3: Cross multiply
    193,283.94x = 289,945.74 × 66,924
  4. Step 4: Simplify right side
    193,283.94x = 19,404,328,703.76
  5. Step 5: Solve for x
    x = 19,404,328,703.76/193,283.94
  6. Step 6: Final answer
    x = 100,392.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.