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Finding the Fourth Proportional to 202,643.70, 303,564.60 and 177,711.90

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Solution

The fourth proportional to 202,643.70, 303,564.60 and 177,711.90 is: 266,216.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,643.70 : 303,564.60 = 177,711.90 : x
  2. Step 2: Convert to fraction form
    202,643.70/303,564.60 = 177,711.90/x
  3. Step 3: Cross multiply
    202,643.70x = 303,564.60 × 177,711.90
  4. Step 4: Simplify right side
    202,643.70x = 53,947,041,838.74
  5. Step 5: Solve for x
    x = 53,947,041,838.74/202,643.70
  6. Step 6: Final answer
    x = 266,216.23

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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.