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Finding the Fourth Proportional to 290,049.63, 435,086.11 and 138,168.63

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Solution

The fourth proportional to 290,049.63, 435,086.11 and 138,168.63 is: 207,258.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,049.63 : 435,086.11 = 138,168.63 : x
  2. Step 2: Convert to fraction form
    290,049.63/435,086.11 = 138,168.63/x
  3. Step 3: Cross multiply
    290,049.63x = 435,086.11 × 138,168.63
  4. Step 4: Simplify right side
    290,049.63x = 60,115,251,405.31
  5. Step 5: Solve for x
    x = 60,115,251,405.31/290,049.63
  6. Step 6: Final answer
    x = 207,258.50

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Why These Related Problems?

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