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Finding the Fourth Proportional to 147,568.94, 203,654.76 and 83,912.66

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Solution

The fourth proportional to 147,568.94, 203,654.76 and 83,912.66 is: 115,804.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,568.94 : 203,654.76 = 83,912.66 : x
  2. Step 2: Convert to fraction form
    147,568.94/203,654.76 = 83,912.66/x
  3. Step 3: Cross multiply
    147,568.94x = 203,654.76 × 83,912.66
  4. Step 4: Simplify right side
    147,568.94x = 17,089,212,633.26
  5. Step 5: Solve for x
    x = 17,089,212,633.26/147,568.94
  6. Step 6: Final answer
    x = 115,804.94

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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.