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Finding the Fourth Proportional to 233,751.62, 322,577.34 and 126,321.62

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Solution

The fourth proportional to 233,751.62, 322,577.34 and 126,321.62 is: 174,323.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,751.62 : 322,577.34 = 126,321.62 : x
  2. Step 2: Convert to fraction form
    233,751.62/322,577.34 = 126,321.62/x
  3. Step 3: Cross multiply
    233,751.62x = 322,577.34 × 126,321.62
  4. Step 4: Simplify right side
    233,751.62x = 40,748,492,164.09
  5. Step 5: Solve for x
    x = 40,748,492,164.09/233,751.62
  6. Step 6: Final answer
    x = 174,323.89

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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.