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Finding the Fourth Proportional to 196,955.96, 295,409.32 and 54,811.90

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Solution

The fourth proportional to 196,955.96, 295,409.32 and 54,811.90 is: 82,211.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,955.96 : 295,409.32 = 54,811.90 : x
  2. Step 2: Convert to fraction form
    196,955.96/295,409.32 = 54,811.90/x
  3. Step 3: Cross multiply
    196,955.96x = 295,409.32 × 54,811.90
  4. Step 4: Simplify right side
    196,955.96x = 16,191,946,106.91
  5. Step 5: Solve for x
    x = 16,191,946,106.91/196,955.96
  6. Step 6: Final answer
    x = 82,211.00

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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.