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Finding the Fourth Proportional to 307,054.82, 423,736.52 and 178,018.35

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Solution

The fourth proportional to 307,054.82, 423,736.52 and 178,018.35 is: 245,665.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,054.82 : 423,736.52 = 178,018.35 : x
  2. Step 2: Convert to fraction form
    307,054.82/423,736.52 = 178,018.35/x
  3. Step 3: Cross multiply
    307,054.82x = 423,736.52 × 178,018.35
  4. Step 4: Simplify right side
    307,054.82x = 75,432,875,235.05
  5. Step 5: Solve for x
    x = 75,432,875,235.05/307,054.82
  6. Step 6: Final answer
    x = 245,665.83

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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.