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Finding the Fourth Proportional to 196,561, 294,841.50 and 65,233

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Solution

The fourth proportional to 196,561, 294,841.50 and 65,233 is: 97,849.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,561 : 294,841.50 = 65,233 : x
  2. Step 2: Convert to fraction form
    196,561/294,841.50 = 65,233/x
  3. Step 3: Cross multiply
    196,561x = 294,841.50 × 65,233
  4. Step 4: Simplify right side
    196,561x = 19,233,395,569.50
  5. Step 5: Solve for x
    x = 19,233,395,569.50/196,561
  6. Step 6: Final answer
    x = 97,849.50

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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.