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Finding the Fourth Proportional to 256,069.60, 384,277.20 and 167,106.40

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Solution

The fourth proportional to 256,069.60, 384,277.20 and 167,106.40 is: 250,772.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,069.60 : 384,277.20 = 167,106.40 : x
  2. Step 2: Convert to fraction form
    256,069.60/384,277.20 = 167,106.40/x
  3. Step 3: Cross multiply
    256,069.60x = 384,277.20 × 167,106.40
  4. Step 4: Simplify right side
    256,069.60x = 64,215,179,494.08
  5. Step 5: Solve for x
    x = 64,215,179,494.08/256,069.60
  6. Step 6: Final answer
    x = 250,772.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.