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Finding the Fourth Proportional to 189,246.90, 283,629.15 and 100,542.90

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Solution

The fourth proportional to 189,246.90, 283,629.15 and 100,542.90 is: 150,686.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,246.90 : 283,629.15 = 100,542.90 : x
  2. Step 2: Convert to fraction form
    189,246.90/283,629.15 = 100,542.90/x
  3. Step 3: Cross multiply
    189,246.90x = 283,629.15 × 100,542.90
  4. Step 4: Simplify right side
    189,246.90x = 28,516,897,265.54
  5. Step 5: Solve for x
    x = 28,516,897,265.54/189,246.90
  6. Step 6: Final answer
    x = 150,686.21

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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.