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Finding the Fourth Proportional to 133,186.73, 199,773 and 48,940.38

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Solution

The fourth proportional to 133,186.73, 199,773 and 48,940.38 is: 73,407.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,186.73 : 199,773 = 48,940.38 : x
  2. Step 2: Convert to fraction form
    133,186.73/199,773 = 48,940.38/x
  3. Step 3: Cross multiply
    133,186.73x = 199,773 × 48,940.38
  4. Step 4: Simplify right side
    133,186.73x = 9,776,966,533.74
  5. Step 5: Solve for x
    x = 9,776,966,533.74/133,186.73
  6. Step 6: Final answer
    x = 73,407.97

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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.