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Finding the Fourth Proportional to 189,044.48, 283,483.92 and 100,277.84

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Solution

The fourth proportional to 189,044.48, 283,483.92 and 100,277.84 is: 150,372.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,044.48 : 283,483.92 = 100,277.84 : x
  2. Step 2: Convert to fraction form
    189,044.48/283,483.92 = 100,277.84/x
  3. Step 3: Cross multiply
    189,044.48x = 283,483.92 × 100,277.84
  4. Step 4: Simplify right side
    189,044.48x = 28,427,155,172.33
  5. Step 5: Solve for x
    x = 28,427,155,172.33/189,044.48
  6. Step 6: Final answer
    x = 150,372.84

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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.