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Finding the Fourth Proportional to 197,678, 296,545.98 and 62,697.06

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Solution

The fourth proportional to 197,678, 296,545.98 and 62,697.06 is: 94,054.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,678 : 296,545.98 = 62,697.06 : x
  2. Step 2: Convert to fraction form
    197,678/296,545.98 = 62,697.06/x
  3. Step 3: Cross multiply
    197,678x = 296,545.98 × 62,697.06
  4. Step 4: Simplify right side
    197,678x = 18,592,561,100.82
  5. Step 5: Solve for x
    x = 18,592,561,100.82/197,678
  6. Step 6: Final answer
    x = 94,054.78

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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.