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Finding the Fourth Proportional to 149,149.98, 205,824.80 and 82,081.98

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Solution

The fourth proportional to 149,149.98, 205,824.80 and 82,081.98 is: 113,271.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,149.98 : 205,824.80 = 82,081.98 : x
  2. Step 2: Convert to fraction form
    149,149.98/205,824.80 = 82,081.98/x
  3. Step 3: Cross multiply
    149,149.98x = 205,824.80 × 82,081.98
  4. Step 4: Simplify right side
    149,149.98x = 16,894,506,706.69
  5. Step 5: Solve for x
    x = 16,894,506,706.69/149,149.98
  6. Step 6: Final answer
    x = 113,271.93

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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.