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Finding the Fourth Proportional to 202,145.58, 303,283.98 and 96,972.78

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Solution

The fourth proportional to 202,145.58, 303,283.98 and 96,972.78 is: 145,490.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,145.58 : 303,283.98 = 96,972.78 : x
  2. Step 2: Convert to fraction form
    202,145.58/303,283.98 = 96,972.78/x
  3. Step 3: Cross multiply
    202,145.58x = 303,283.98 × 96,972.78
  4. Step 4: Simplify right side
    202,145.58x = 29,410,290,670.06
  5. Step 5: Solve for x
    x = 29,410,290,670.06/202,145.58
  6. Step 6: Final answer
    x = 145,490.64

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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.