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Finding the Fourth Proportional to 149,657.70, 223,838.55 and 133,976.10

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Solution

The fourth proportional to 149,657.70, 223,838.55 and 133,976.10 is: 200,384.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,657.70 : 223,838.55 = 133,976.10 : x
  2. Step 2: Convert to fraction form
    149,657.70/223,838.55 = 133,976.10/x
  3. Step 3: Cross multiply
    149,657.70x = 223,838.55 × 133,976.10
  4. Step 4: Simplify right side
    149,657.70x = 29,989,015,958.66
  5. Step 5: Solve for x
    x = 29,989,015,958.66/149,657.70
  6. Step 6: Final answer
    x = 200,384.05

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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.