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Finding the Fourth Proportional to 189,160.90, 283,851.75 and 104,991.70

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Solution

The fourth proportional to 189,160.90, 283,851.75 and 104,991.70 is: 157,548.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,160.90 : 283,851.75 = 104,991.70 : x
  2. Step 2: Convert to fraction form
    189,160.90/283,851.75 = 104,991.70/x
  3. Step 3: Cross multiply
    189,160.90x = 283,851.75 × 104,991.70
  4. Step 4: Simplify right side
    189,160.90x = 29,802,077,780.48
  5. Step 5: Solve for x
    x = 29,802,077,780.48/189,160.90
  6. Step 6: Final answer
    x = 157,548.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.