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Finding the Fourth Proportional to 195,514, 293,276.48 and 69,136.40

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Solution

The fourth proportional to 195,514, 293,276.48 and 69,136.40 is: 103,706.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,514 : 293,276.48 = 69,136.40 : x
  2. Step 2: Convert to fraction form
    195,514/293,276.48 = 69,136.40/x
  3. Step 3: Cross multiply
    195,514x = 293,276.48 × 69,136.40
  4. Step 4: Simplify right side
    195,514x = 20,276,080,031.87
  5. Step 5: Solve for x
    x = 20,276,080,031.87/195,514
  6. Step 6: Final answer
    x = 103,706.54

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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.