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Finding the Fourth Proportional to 182,647.20, 252,071.28 and 107,194.08

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Solution

The fourth proportional to 182,647.20, 252,071.28 and 107,194.08 is: 147,938.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,647.20 : 252,071.28 = 107,194.08 : x
  2. Step 2: Convert to fraction form
    182,647.20/252,071.28 = 107,194.08/x
  3. Step 3: Cross multiply
    182,647.20x = 252,071.28 × 107,194.08
  4. Step 4: Simplify right side
    182,647.20x = 27,020,548,954.02
  5. Step 5: Solve for x
    x = 27,020,548,954.02/182,647.20
  6. Step 6: Final answer
    x = 147,938.48

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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.