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Finding the Fourth Proportional to 196,597.88, 294,821.87 and 70,214.52

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Solution

The fourth proportional to 196,597.88, 294,821.87 and 70,214.52 is: 105,295.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,597.88 : 294,821.87 = 70,214.52 : x
  2. Step 2: Convert to fraction form
    196,597.88/294,821.87 = 70,214.52/x
  3. Step 3: Cross multiply
    196,597.88x = 294,821.87 × 70,214.52
  4. Step 4: Simplify right side
    196,597.88x = 20,700,776,263.09
  5. Step 5: Solve for x
    x = 20,700,776,263.09/196,597.88
  6. Step 6: Final answer
    x = 105,295.02

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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.