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Finding the Fourth Proportional to 140,136.48, 193,392.42 and 76,478.38

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Solution

The fourth proportional to 140,136.48, 193,392.42 and 76,478.38 is: 105,542.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,136.48 : 193,392.42 = 76,478.38 : x
  2. Step 2: Convert to fraction form
    140,136.48/193,392.42 = 76,478.38/x
  3. Step 3: Cross multiply
    140,136.48x = 193,392.42 × 76,478.38
  4. Step 4: Simplify right side
    140,136.48x = 14,790,338,985.88
  5. Step 5: Solve for x
    x = 14,790,338,985.88/140,136.48
  6. Step 6: Final answer
    x = 105,542.39

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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.