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Finding the Fourth Proportional to 202,300.40, 303,377.70 and 102,427.40

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Solution

The fourth proportional to 202,300.40, 303,377.70 and 102,427.40 is: 153,604.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,300.40 : 303,377.70 = 102,427.40 : x
  2. Step 2: Convert to fraction form
    202,300.40/303,377.70 = 102,427.40/x
  3. Step 3: Cross multiply
    202,300.40x = 303,377.70 × 102,427.40
  4. Step 4: Simplify right side
    202,300.40x = 31,074,189,028.98
  5. Step 5: Solve for x
    x = 31,074,189,028.98/202,300.40
  6. Step 6: Final answer
    x = 153,604.19

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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.