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Finding the Fourth Proportional to 256,529.68, 354,010.80 and 143,352.16

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Solution

The fourth proportional to 256,529.68, 354,010.80 and 143,352.16 is: 197,825.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,529.68 : 354,010.80 = 143,352.16 : x
  2. Step 2: Convert to fraction form
    256,529.68/354,010.80 = 143,352.16/x
  3. Step 3: Cross multiply
    256,529.68x = 354,010.80 × 143,352.16
  4. Step 4: Simplify right side
    256,529.68x = 50,748,212,843.33
  5. Step 5: Solve for x
    x = 50,748,212,843.33/256,529.68
  6. Step 6: Final answer
    x = 197,825.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.