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Finding the Fourth Proportional to 202,141.70, 303,212.55 and 180,368.90

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Solution

The fourth proportional to 202,141.70, 303,212.55 and 180,368.90 is: 270,553.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,141.70 : 303,212.55 = 180,368.90 : x
  2. Step 2: Convert to fraction form
    202,141.70/303,212.55 = 180,368.90/x
  3. Step 3: Cross multiply
    202,141.70x = 303,212.55 × 180,368.90
  4. Step 4: Simplify right side
    202,141.70x = 54,690,114,109.70
  5. Step 5: Solve for x
    x = 54,690,114,109.70/202,141.70
  6. Step 6: Final answer
    x = 270,553.35

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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.