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Finding the Fourth Proportional to 196,365, 294,298.11 and 101,577.38

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Solution

The fourth proportional to 196,365, 294,298.11 and 101,577.38 is: 152,237.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,365 : 294,298.11 = 101,577.38 : x
  2. Step 2: Convert to fraction form
    196,365/294,298.11 = 101,577.38/x
  3. Step 3: Cross multiply
    196,365x = 294,298.11 × 101,577.38
  4. Step 4: Simplify right side
    196,365x = 29,894,030,952.75
  5. Step 5: Solve for x
    x = 29,894,030,952.75/196,365
  6. Step 6: Final answer
    x = 152,237.06

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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.