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Finding the Fourth Proportional to 253,895.67, 380,794.10 and 96,136.47

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Solution

The fourth proportional to 253,895.67, 380,794.10 and 96,136.47 is: 144,186.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,895.67 : 380,794.10 = 96,136.47 : x
  2. Step 2: Convert to fraction form
    253,895.67/380,794.10 = 96,136.47/x
  3. Step 3: Cross multiply
    253,895.67x = 380,794.10 × 96,136.47
  4. Step 4: Simplify right side
    253,895.67x = 36,608,200,090.14
  5. Step 5: Solve for x
    x = 36,608,200,090.14/253,895.67
  6. Step 6: Final answer
    x = 144,186.00

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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.