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Finding the Fourth Proportional to 206,890.48, 285,509.20 and 117,466.48

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Solution

The fourth proportional to 206,890.48, 285,509.20 and 117,466.48 is: 162,103.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,890.48 : 285,509.20 = 117,466.48 : x
  2. Step 2: Convert to fraction form
    206,890.48/285,509.20 = 117,466.48/x
  3. Step 3: Cross multiply
    206,890.48x = 285,509.20 × 117,466.48
  4. Step 4: Simplify right side
    206,890.48x = 33,537,760,731.62
  5. Step 5: Solve for x
    x = 33,537,760,731.62/206,890.48
  6. Step 6: Final answer
    x = 162,103.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.