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Finding the Fourth Proportional to 223,642, 308,625.96 and 123,037.84

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Solution

The fourth proportional to 223,642, 308,625.96 and 123,037.84 is: 169,792.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,642 : 308,625.96 = 123,037.84 : x
  2. Step 2: Convert to fraction form
    223,642/308,625.96 = 123,037.84/x
  3. Step 3: Cross multiply
    223,642x = 308,625.96 × 123,037.84
  4. Step 4: Simplify right side
    223,642x = 37,972,671,486.33
  5. Step 5: Solve for x
    x = 37,972,671,486.33/223,642
  6. Step 6: Final answer
    x = 169,792.22

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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.