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Finding the Fourth Proportional to 149,303.38, 206,038.66 and 82,235.38

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Solution

The fourth proportional to 149,303.38, 206,038.66 and 82,235.38 is: 113,484.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,303.38 : 206,038.66 = 82,235.38 : x
  2. Step 2: Convert to fraction form
    149,303.38/206,038.66 = 82,235.38/x
  3. Step 3: Cross multiply
    149,303.38x = 206,038.66 × 82,235.38
  4. Step 4: Simplify right side
    149,303.38x = 16,943,667,499.79
  5. Step 5: Solve for x
    x = 16,943,667,499.79/149,303.38
  6. Step 6: Final answer
    x = 113,484.82

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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.