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Finding the Fourth Proportional to 308,049.15, 462,090.24 and 97,703.49

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Solution

The fourth proportional to 308,049.15, 462,090.24 and 97,703.49 is: 146,560.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,049.15 : 462,090.24 = 97,703.49 : x
  2. Step 2: Convert to fraction form
    308,049.15/462,090.24 = 97,703.49/x
  3. Step 3: Cross multiply
    308,049.15x = 462,090.24 × 97,703.49
  4. Step 4: Simplify right side
    308,049.15x = 45,147,829,142.94
  5. Step 5: Solve for x
    x = 45,147,829,142.94/308,049.15
  6. Step 6: Final answer
    x = 146,560.47

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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.