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Finding the Fourth Proportional to 196,368.48, 294,465.24 and 71,622

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Solution

The fourth proportional to 196,368.48, 294,465.24 and 71,622 is: 107,401.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,368.48 : 294,465.24 = 71,622 : x
  2. Step 2: Convert to fraction form
    196,368.48/294,465.24 = 71,622/x
  3. Step 3: Cross multiply
    196,368.48x = 294,465.24 × 71,622
  4. Step 4: Simplify right side
    196,368.48x = 21,090,189,419.28
  5. Step 5: Solve for x
    x = 21,090,189,419.28/196,368.48
  6. Step 6: Final answer
    x = 107,401.09

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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.