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Finding the Fourth Proportional to 266,856.16, 400,284 and 126,538.24

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Solution

The fourth proportional to 266,856.16, 400,284 and 126,538.24 is: 189,807.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,856.16 : 400,284 = 126,538.24 : x
  2. Step 2: Convert to fraction form
    266,856.16/400,284 = 126,538.24/x
  3. Step 3: Cross multiply
    266,856.16x = 400,284 × 126,538.24
  4. Step 4: Simplify right side
    266,856.16x = 50,651,232,860.16
  5. Step 5: Solve for x
    x = 50,651,232,860.16/266,856.16
  6. Step 6: Final answer
    x = 189,807.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.