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Finding the Fourth Proportional to 147,027.96, 202,903.38 and 83,368.44

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Solution

The fourth proportional to 147,027.96, 202,903.38 and 83,368.44 is: 115,051.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,027.96 : 202,903.38 = 83,368.44 : x
  2. Step 2: Convert to fraction form
    147,027.96/202,903.38 = 83,368.44/x
  3. Step 3: Cross multiply
    147,027.96x = 202,903.38 × 83,368.44
  4. Step 4: Simplify right side
    147,027.96x = 16,915,738,261.33
  5. Step 5: Solve for x
    x = 16,915,738,261.33/147,027.96
  6. Step 6: Final answer
    x = 115,051.17

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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.