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Finding the Fourth Proportional to 253,548.34, 380,382.52 and 82,769.16

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Solution

The fourth proportional to 253,548.34, 380,382.52 and 82,769.16 is: 124,173.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,548.34 : 380,382.52 = 82,769.16 : x
  2. Step 2: Convert to fraction form
    253,548.34/380,382.52 = 82,769.16/x
  3. Step 3: Cross multiply
    253,548.34x = 380,382.52 × 82,769.16
  4. Step 4: Simplify right side
    253,548.34x = 31,483,941,659.08
  5. Step 5: Solve for x
    x = 31,483,941,659.08/253,548.34
  6. Step 6: Final answer
    x = 124,173.33

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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.