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Finding the Fourth Proportional to 196,594, 294,891 and 65,266

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Solution

The fourth proportional to 196,594, 294,891 and 65,266 is: 97,899

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,594 : 294,891 = 65,266 : x
  2. Step 2: Convert to fraction form
    196,594/294,891 = 65,266/x
  3. Step 3: Cross multiply
    196,594x = 294,891 × 65,266
  4. Step 4: Simplify right side
    196,594x = 19,246,356,006
  5. Step 5: Solve for x
    x = 19,246,356,006/196,594
  6. Step 6: Final answer
    x = 97,899

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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.