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Finding the Fourth Proportional to 202,313.90, 303,211.65 and 180,022.70

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Solution

The fourth proportional to 202,313.90, 303,211.65 and 180,022.70 is: 269,803.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,313.90 : 303,211.65 = 180,022.70 : x
  2. Step 2: Convert to fraction form
    202,313.90/303,211.65 = 180,022.70/x
  3. Step 3: Cross multiply
    202,313.90x = 303,211.65 × 180,022.70
  4. Step 4: Simplify right side
    202,313.90x = 54,584,979,904.46
  5. Step 5: Solve for x
    x = 54,584,979,904.46/202,313.90
  6. Step 6: Final answer
    x = 269,803.41

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1.5x scale

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.