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Finding the Fourth Proportional to 202,313.40, 303,210.90 and 180,022.20

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Solution

The fourth proportional to 202,313.40, 303,210.90 and 180,022.20 is: 269,802.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,313.40 : 303,210.90 = 180,022.20 : x
  2. Step 2: Convert to fraction form
    202,313.40/303,210.90 = 180,022.20/x
  3. Step 3: Cross multiply
    202,313.40x = 303,210.90 × 180,022.20
  4. Step 4: Simplify right side
    202,313.40x = 54,584,693,281.98
  5. Step 5: Solve for x
    x = 54,584,693,281.98/202,313.40
  6. Step 6: Final answer
    x = 269,802.66

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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.