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Finding the Fourth Proportional to 135,959.96, 203,939.94 and 42,473

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Solution

The fourth proportional to 135,959.96, 203,939.94 and 42,473 is: 63,709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,959.96 : 203,939.94 = 42,473 : x
  2. Step 2: Convert to fraction form
    135,959.96/203,939.94 = 42,473/x
  3. Step 3: Cross multiply
    135,959.96x = 203,939.94 × 42,473
  4. Step 4: Simplify right side
    135,959.96x = 8,661,941,071.62
  5. Step 5: Solve for x
    x = 8,661,941,071.62/135,959.96
  6. Step 6: Final answer
    x = 63,709.50

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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.