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Finding the Fourth Proportional to 147,757.52, 203,904.64 and 83,226.59

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Solution

The fourth proportional to 147,757.52, 203,904.64 and 83,226.59 is: 114,852.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,757.52 : 203,904.64 = 83,226.59 : x
  2. Step 2: Convert to fraction form
    147,757.52/203,904.64 = 83,226.59/x
  3. Step 3: Cross multiply
    147,757.52x = 203,904.64 × 83,226.59
  4. Step 4: Simplify right side
    147,757.52x = 16,970,287,721.53
  5. Step 5: Solve for x
    x = 16,970,287,721.53/147,757.52
  6. Step 6: Final answer
    x = 114,852.28

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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.