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Finding the Fourth Proportional to 275,896.60, 380,708.94 and 155,018.68

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Solution

The fourth proportional to 275,896.60, 380,708.94 and 155,018.68 is: 213,909.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,896.60 : 380,708.94 = 155,018.68 : x
  2. Step 2: Convert to fraction form
    275,896.60/380,708.94 = 155,018.68/x
  3. Step 3: Cross multiply
    275,896.60x = 380,708.94 × 155,018.68
  4. Step 4: Simplify right side
    275,896.60x = 59,016,997,343.00
  5. Step 5: Solve for x
    x = 59,016,997,343.00/275,896.60
  6. Step 6: Final answer
    x = 213,909.84

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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.