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Finding the Fourth Proportional to 147,657.60, 203,786.96 and 83,983.10

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Solution

The fourth proportional to 147,657.60, 203,786.96 and 83,983.10 is: 115,907.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,657.60 : 203,786.96 = 83,983.10 : x
  2. Step 2: Convert to fraction form
    147,657.60/203,786.96 = 83,983.10/x
  3. Step 3: Cross multiply
    147,657.60x = 203,786.96 × 83,983.10
  4. Step 4: Simplify right side
    147,657.60x = 17,114,660,640.38
  5. Step 5: Solve for x
    x = 17,114,660,640.38/147,657.60
  6. Step 6: Final answer
    x = 115,907.75

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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.