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Finding the Fourth Proportional to 251,633.97, 347,140.45 and 149,601.53

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Solution

The fourth proportional to 251,633.97, 347,140.45 and 149,601.53 is: 206,382.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,633.97 : 347,140.45 = 149,601.53 : x
  2. Step 2: Convert to fraction form
    251,633.97/347,140.45 = 149,601.53/x
  3. Step 3: Cross multiply
    251,633.97x = 347,140.45 × 149,601.53
  4. Step 4: Simplify right side
    251,633.97x = 51,932,742,444.89
  5. Step 5: Solve for x
    x = 51,932,742,444.89/251,633.97
  6. Step 6: Final answer
    x = 206,382.08

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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.