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Finding the Fourth Proportional to 226,886, 313,102.68 and 126,281.84

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Solution

The fourth proportional to 226,886, 313,102.68 and 126,281.84 is: 174,268.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,886 : 313,102.68 = 126,281.84 : x
  2. Step 2: Convert to fraction form
    226,886/313,102.68 = 126,281.84/x
  3. Step 3: Cross multiply
    226,886x = 313,102.68 × 126,281.84
  4. Step 4: Simplify right side
    226,886x = 39,539,182,539.33
  5. Step 5: Solve for x
    x = 39,539,182,539.33/226,886
  6. Step 6: Final answer
    x = 174,268.94

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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.