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Finding the Fourth Proportional to 196,764, 295,195.82 and 56,522.63

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Solution

The fourth proportional to 196,764, 295,195.82 and 56,522.63 is: 84,798.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,764 : 295,195.82 = 56,522.63 : x
  2. Step 2: Convert to fraction form
    196,764/295,195.82 = 56,522.63/x
  3. Step 3: Cross multiply
    196,764x = 295,195.82 × 56,522.63
  4. Step 4: Simplify right side
    196,764x = 16,685,242,352.81
  5. Step 5: Solve for x
    x = 16,685,242,352.81/196,764
  6. Step 6: Final answer
    x = 84,798.25

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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.