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Finding the Fourth Proportional to 256,854.56, 354,428.88 and 142,118

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Solution

The fourth proportional to 256,854.56, 354,428.88 and 142,118 is: 196,106.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,854.56 : 354,428.88 = 142,118 : x
  2. Step 2: Convert to fraction form
    256,854.56/354,428.88 = 142,118/x
  3. Step 3: Cross multiply
    256,854.56x = 354,428.88 × 142,118
  4. Step 4: Simplify right side
    256,854.56x = 50,370,723,567.84
  5. Step 5: Solve for x
    x = 50,370,723,567.84/256,854.56
  6. Step 6: Final answer
    x = 196,106.01

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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.