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Finding the Fourth Proportional to 183,858.94, 253,728.76 and 102,194.84

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Solution

The fourth proportional to 183,858.94, 253,728.76 and 102,194.84 is: 141,030.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,858.94 : 253,728.76 = 102,194.84 : x
  2. Step 2: Convert to fraction form
    183,858.94/253,728.76 = 102,194.84/x
  3. Step 3: Cross multiply
    183,858.94x = 253,728.76 × 102,194.84
  4. Step 4: Simplify right side
    183,858.94x = 25,929,770,031.60
  5. Step 5: Solve for x
    x = 25,929,770,031.60/183,858.94
  6. Step 6: Final answer
    x = 141,030.78

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1.5x scale

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.