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Finding the Fourth Proportional to 149,289.55, 206,016.48 and 81,307.70

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Solution

The fourth proportional to 149,289.55, 206,016.48 and 81,307.70 is: 112,202.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,289.55 : 206,016.48 = 81,307.70 : x
  2. Step 2: Convert to fraction form
    149,289.55/206,016.48 = 81,307.70/x
  3. Step 3: Cross multiply
    149,289.55x = 206,016.48 × 81,307.70
  4. Step 4: Simplify right side
    149,289.55x = 16,750,725,893.38
  5. Step 5: Solve for x
    x = 16,750,725,893.38/149,289.55
  6. Step 6: Final answer
    x = 112,202.94

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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.