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Finding the Fourth Proportional to 204,673.86, 307,054.53 and 154,773.81

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Solution

The fourth proportional to 204,673.86, 307,054.53 and 154,773.81 is: 232,193.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,673.86 : 307,054.53 = 154,773.81 : x
  2. Step 2: Convert to fraction form
    204,673.86/307,054.53 = 154,773.81/x
  3. Step 3: Cross multiply
    204,673.86x = 307,054.53 × 154,773.81
  4. Step 4: Simplify right side
    204,673.86x = 47,523,999,485.86
  5. Step 5: Solve for x
    x = 47,523,999,485.86/204,673.86
  6. Step 6: Final answer
    x = 232,193.79

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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.