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Finding the Fourth Proportional to 182,276.75, 273,554.67 and 82,507

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Solution

The fourth proportional to 182,276.75, 273,554.67 and 82,507 is: 123,823.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,276.75 : 273,554.67 = 82,507 : x
  2. Step 2: Convert to fraction form
    182,276.75/273,554.67 = 82,507/x
  3. Step 3: Cross multiply
    182,276.75x = 273,554.67 × 82,507
  4. Step 4: Simplify right side
    182,276.75x = 22,570,175,157.69
  5. Step 5: Solve for x
    x = 22,570,175,157.69/182,276.75
  6. Step 6: Final answer
    x = 123,823.66

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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.