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Finding the Fourth Proportional to 296,894.92, 445,389.90 and 97,168.36

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Solution

The fourth proportional to 296,894.92, 445,389.90 and 97,168.36 is: 145,768.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,894.92 : 445,389.90 = 97,168.36 : x
  2. Step 2: Convert to fraction form
    296,894.92/445,389.90 = 97,168.36/x
  3. Step 3: Cross multiply
    296,894.92x = 445,389.90 × 97,168.36
  4. Step 4: Simplify right side
    296,894.92x = 43,277,806,143.56
  5. Step 5: Solve for x
    x = 43,277,806,143.56/296,894.92
  6. Step 6: Final answer
    x = 145,768.09

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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.