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Finding the Fourth Proportional to 202,524.64, 303,786.80 and 158,084.80

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Solution

The fourth proportional to 202,524.64, 303,786.80 and 158,084.80 is: 237,127.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,524.64 : 303,786.80 = 158,084.80 : x
  2. Step 2: Convert to fraction form
    202,524.64/303,786.80 = 158,084.80/x
  3. Step 3: Cross multiply
    202,524.64x = 303,786.80 × 158,084.80
  4. Step 4: Simplify right side
    202,524.64x = 48,024,075,520.64
  5. Step 5: Solve for x
    x = 48,024,075,520.64/202,524.64
  6. Step 6: Final answer
    x = 237,127.08

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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.