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Finding the Fourth Proportional to 194,758.30, 292,144.74 and 54,513.28

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Solution

The fourth proportional to 194,758.30, 292,144.74 and 54,513.28 is: 81,771.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,758.30 : 292,144.74 = 54,513.28 : x
  2. Step 2: Convert to fraction form
    194,758.30/292,144.74 = 54,513.28/x
  3. Step 3: Cross multiply
    194,758.30x = 292,144.74 × 54,513.28
  4. Step 4: Simplify right side
    194,758.30x = 15,925,768,012.15
  5. Step 5: Solve for x
    x = 15,925,768,012.15/194,758.30
  6. Step 6: Final answer
    x = 81,771.96

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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.