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Finding the Fourth Proportional to 266,854.16, 400,281 and 126,536.24

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Solution

The fourth proportional to 266,854.16, 400,281 and 126,536.24 is: 189,804.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,854.16 : 400,281 = 126,536.24 : x
  2. Step 2: Convert to fraction form
    266,854.16/400,281 = 126,536.24/x
  3. Step 3: Cross multiply
    266,854.16x = 400,281 × 126,536.24
  4. Step 4: Simplify right side
    266,854.16x = 50,650,052,683.44
  5. Step 5: Solve for x
    x = 50,650,052,683.44/266,854.16
  6. Step 6: Final answer
    x = 189,804.25

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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.