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Finding the Fourth Proportional to 202,384.80, 303,760.80 and 102,614.40

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Solution

The fourth proportional to 202,384.80, 303,760.80 and 102,614.40 is: 154,014.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,384.80 : 303,760.80 = 102,614.40 : x
  2. Step 2: Convert to fraction form
    202,384.80/303,760.80 = 102,614.40/x
  3. Step 3: Cross multiply
    202,384.80x = 303,760.80 × 102,614.40
  4. Step 4: Simplify right side
    202,384.80x = 31,170,232,235.52
  5. Step 5: Solve for x
    x = 31,170,232,235.52/202,384.80
  6. Step 6: Final answer
    x = 154,014.69

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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.