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Finding the Fourth Proportional to 146,270.94, 201,857.88 and 82,618.20

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Solution

The fourth proportional to 146,270.94, 201,857.88 and 82,618.20 is: 114,015.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,270.94 : 201,857.88 = 82,618.20 : x
  2. Step 2: Convert to fraction form
    146,270.94/201,857.88 = 82,618.20/x
  3. Step 3: Cross multiply
    146,270.94x = 201,857.88 × 82,618.20
  4. Step 4: Simplify right side
    146,270.94x = 16,677,134,701.42
  5. Step 5: Solve for x
    x = 16,677,134,701.42/146,270.94
  6. Step 6: Final answer
    x = 114,015.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.