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Finding the Fourth Proportional to 196,603.42, 294,905.31 and 48,859.42

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Solution

The fourth proportional to 196,603.42, 294,905.31 and 48,859.42 is: 73,289.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,603.42 : 294,905.31 = 48,859.42 : x
  2. Step 2: Convert to fraction form
    196,603.42/294,905.31 = 48,859.42/x
  3. Step 3: Cross multiply
    196,603.42x = 294,905.31 × 48,859.42
  4. Step 4: Simplify right side
    196,603.42x = 14,408,902,401.52
  5. Step 5: Solve for x
    x = 14,408,902,401.52/196,603.42
  6. Step 6: Final answer
    x = 73,289.17

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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.