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Finding the Fourth Proportional to 189,800.82, 284,701.23 and 83,289.06

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Solution

The fourth proportional to 189,800.82, 284,701.23 and 83,289.06 is: 124,933.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,800.82 : 284,701.23 = 83,289.06 : x
  2. Step 2: Convert to fraction form
    189,800.82/284,701.23 = 83,289.06/x
  3. Step 3: Cross multiply
    189,800.82x = 284,701.23 × 83,289.06
  4. Step 4: Simplify right side
    189,800.82x = 23,712,497,827.54
  5. Step 5: Solve for x
    x = 23,712,497,827.54/189,800.82
  6. Step 6: Final answer
    x = 124,933.59

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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.