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Finding the Fourth Proportional to 146,057.56, 201,554.58 and 82,393

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Solution

The fourth proportional to 146,057.56, 201,554.58 and 82,393 is: 113,699.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,057.56 : 201,554.58 = 82,393 : x
  2. Step 2: Convert to fraction form
    146,057.56/201,554.58 = 82,393/x
  3. Step 3: Cross multiply
    146,057.56x = 201,554.58 × 82,393
  4. Step 4: Simplify right side
    146,057.56x = 16,606,686,509.94
  5. Step 5: Solve for x
    x = 16,606,686,509.94/146,057.56
  6. Step 6: Final answer
    x = 113,699.60

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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.