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Finding the Fourth Proportional to 137,733.88, 190,086.42 and 84,054.88

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Solution

The fourth proportional to 137,733.88, 190,086.42 and 84,054.88 is: 116,004.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,733.88 : 190,086.42 = 84,054.88 : x
  2. Step 2: Convert to fraction form
    137,733.88/190,086.42 = 84,054.88/x
  3. Step 3: Cross multiply
    137,733.88x = 190,086.42 × 84,054.88
  4. Step 4: Simplify right side
    137,733.88x = 15,977,691,222.73
  5. Step 5: Solve for x
    x = 15,977,691,222.73/137,733.88
  6. Step 6: Final answer
    x = 116,004.07

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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.