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Finding the Fourth Proportional to 202,283.40, 303,352.20 and 102,410.40

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Solution

The fourth proportional to 202,283.40, 303,352.20 and 102,410.40 is: 153,578.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,283.40 : 303,352.20 = 102,410.40 : x
  2. Step 2: Convert to fraction form
    202,283.40/303,352.20 = 102,410.40/x
  3. Step 3: Cross multiply
    202,283.40x = 303,352.20 × 102,410.40
  4. Step 4: Simplify right side
    202,283.40x = 31,066,420,142.88
  5. Step 5: Solve for x
    x = 31,066,420,142.88/202,283.40
  6. Step 6: Final answer
    x = 153,578.69

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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.