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Finding the Fourth Proportional to 196,969.94, 295,411.70 and 56,698.10

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Solution

The fourth proportional to 196,969.94, 295,411.70 and 56,698.10 is: 85,034.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,969.94 : 295,411.70 = 56,698.10 : x
  2. Step 2: Convert to fraction form
    196,969.94/295,411.70 = 56,698.10/x
  3. Step 3: Cross multiply
    196,969.94x = 295,411.70 × 56,698.10
  4. Step 4: Simplify right side
    196,969.94x = 16,749,282,107.77
  5. Step 5: Solve for x
    x = 16,749,282,107.77/196,969.94
  6. Step 6: Final answer
    x = 85,034.71

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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.