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Finding the Fourth Proportional to 196,152.33, 294,342 and 82,289.94

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Solution

The fourth proportional to 196,152.33, 294,342 and 82,289.94 is: 123,482.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,152.33 : 294,342 = 82,289.94 : x
  2. Step 2: Convert to fraction form
    196,152.33/294,342 = 82,289.94/x
  3. Step 3: Cross multiply
    196,152.33x = 294,342 × 82,289.94
  4. Step 4: Simplify right side
    196,152.33x = 24,221,385,519.48
  5. Step 5: Solve for x
    x = 24,221,385,519.48/196,152.33
  6. Step 6: Final answer
    x = 123,482.53

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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.