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Finding the Fourth Proportional to 196,465.50, 294,698.25 and 71,806.50

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Solution

The fourth proportional to 196,465.50, 294,698.25 and 71,806.50 is: 107,709.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,465.50 : 294,698.25 = 71,806.50 : x
  2. Step 2: Convert to fraction form
    196,465.50/294,698.25 = 71,806.50/x
  3. Step 3: Cross multiply
    196,465.50x = 294,698.25 × 71,806.50
  4. Step 4: Simplify right side
    196,465.50x = 21,161,249,888.63
  5. Step 5: Solve for x
    x = 21,161,249,888.63/196,465.50
  6. Step 6: Final answer
    x = 107,709.75

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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.