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Finding the Fourth Proportional to 196,275, 294,417.36 and 71,616

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Solution

The fourth proportional to 196,275, 294,417.36 and 71,616 is: 107,425.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,275 : 294,417.36 = 71,616 : x
  2. Step 2: Convert to fraction form
    196,275/294,417.36 = 71,616/x
  3. Step 3: Cross multiply
    196,275x = 294,417.36 × 71,616
  4. Step 4: Simplify right side
    196,275x = 21,084,993,653.76
  5. Step 5: Solve for x
    x = 21,084,993,653.76/196,275
  6. Step 6: Final answer
    x = 107,425.77

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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.