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Finding the Fourth Proportional to 196,878.21, 295,321.50 and 70,526.67

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Solution

The fourth proportional to 196,878.21, 295,321.50 and 70,526.67 is: 105,791.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,878.21 : 295,321.50 = 70,526.67 : x
  2. Step 2: Convert to fraction form
    196,878.21/295,321.50 = 70,526.67/x
  3. Step 3: Cross multiply
    196,878.21x = 295,321.50 × 70,526.67
  4. Step 4: Simplify right side
    196,878.21x = 20,828,041,974.41
  5. Step 5: Solve for x
    x = 20,828,041,974.41/196,878.21
  6. Step 6: Final answer
    x = 105,791.50

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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.