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Finding the Fourth Proportional to 137,783.70, 206,675.55 and 49,137.30

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Solution

The fourth proportional to 137,783.70, 206,675.55 and 49,137.30 is: 73,705.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,783.70 : 206,675.55 = 49,137.30 : x
  2. Step 2: Convert to fraction form
    137,783.70/206,675.55 = 49,137.30/x
  3. Step 3: Cross multiply
    137,783.70x = 206,675.55 × 49,137.30
  4. Step 4: Simplify right side
    137,783.70x = 10,155,478,503.02
  5. Step 5: Solve for x
    x = 10,155,478,503.02/137,783.70
  6. Step 6: Final answer
    x = 73,705.95

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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.