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Finding the Fourth Proportional to 256,736.02, 354,308.14 and 142,014.16

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Solution

The fourth proportional to 256,736.02, 354,308.14 and 142,014.16 is: 195,986.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,736.02 : 354,308.14 = 142,014.16 : x
  2. Step 2: Convert to fraction form
    256,736.02/354,308.14 = 142,014.16/x
  3. Step 3: Cross multiply
    256,736.02x = 354,308.14 × 142,014.16
  4. Step 4: Simplify right side
    256,736.02x = 50,316,772,883.26
  5. Step 5: Solve for x
    x = 50,316,772,883.26/256,736.02
  6. Step 6: Final answer
    x = 195,986.42

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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.