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Finding the Fourth Proportional to 227,407.77, 313,783.56 and 145,807.38

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Solution

The fourth proportional to 227,407.77, 313,783.56 and 145,807.38 is: 201,189.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,407.77 : 313,783.56 = 145,807.38 : x
  2. Step 2: Convert to fraction form
    227,407.77/313,783.56 = 145,807.38/x
  3. Step 3: Cross multiply
    227,407.77x = 313,783.56 × 145,807.38
  4. Step 4: Simplify right side
    227,407.77x = 45,751,958,770.67
  5. Step 5: Solve for x
    x = 45,751,958,770.67/227,407.77
  6. Step 6: Final answer
    x = 201,189.07

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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.