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Finding the Fourth Proportional to 266,754.56, 368,254.96 and 206,188.32

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Solution

The fourth proportional to 266,754.56, 368,254.96 and 206,188.32 is: 284,643.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,754.56 : 368,254.96 = 206,188.32 : x
  2. Step 2: Convert to fraction form
    266,754.56/368,254.96 = 206,188.32/x
  3. Step 3: Cross multiply
    266,754.56x = 368,254.96 × 206,188.32
  4. Step 4: Simplify right side
    266,754.56x = 75,929,871,534.07
  5. Step 5: Solve for x
    x = 75,929,871,534.07/266,754.56
  6. Step 6: Final answer
    x = 284,643.20

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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.