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Finding the Fourth Proportional to 196,708.58, 294,990.57 and 70,314.71

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Solution

The fourth proportional to 196,708.58, 294,990.57 and 70,314.71 is: 105,446.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,708.58 : 294,990.57 = 70,314.71 : x
  2. Step 2: Convert to fraction form
    196,708.58/294,990.57 = 70,314.71/x
  3. Step 3: Cross multiply
    196,708.58x = 294,990.57 × 70,314.71
  4. Step 4: Simplify right side
    196,708.58x = 20,742,177,119.76
  5. Step 5: Solve for x
    x = 20,742,177,119.76/196,708.58
  6. Step 6: Final answer
    x = 105,446.23

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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.