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Finding the Fourth Proportional to 196,953.96, 295,406.33 and 54,809.90

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Solution

The fourth proportional to 196,953.96, 295,406.33 and 54,809.90 is: 82,208.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,953.96 : 295,406.33 = 54,809.90 : x
  2. Step 2: Convert to fraction form
    196,953.96/295,406.33 = 54,809.90/x
  3. Step 3: Cross multiply
    196,953.96x = 295,406.33 × 54,809.90
  4. Step 4: Simplify right side
    196,953.96x = 16,191,190,763.36
  5. Step 5: Solve for x
    x = 16,191,190,763.36/196,953.96
  6. Step 6: Final answer
    x = 82,208.00

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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.