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Finding the Fourth Proportional to 196,514.88, 294,718.32 and 54,326.40

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Solution

The fourth proportional to 196,514.88, 294,718.32 and 54,326.40 is: 81,474.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,514.88 : 294,718.32 = 54,326.40 : x
  2. Step 2: Convert to fraction form
    196,514.88/294,718.32 = 54,326.40/x
  3. Step 3: Cross multiply
    196,514.88x = 294,718.32 × 54,326.40
  4. Step 4: Simplify right side
    196,514.88x = 16,010,985,339.65
  5. Step 5: Solve for x
    x = 16,010,985,339.65/196,514.88
  6. Step 6: Final answer
    x = 81,474.67

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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.