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Finding the Fourth Proportional to 541,059.84, 811,667.52 and 167,112

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Solution

The fourth proportional to 541,059.84, 811,667.52 and 167,112 is: 250,692.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,059.84 : 811,667.52 = 167,112 : x
  2. Step 2: Convert to fraction form
    541,059.84/811,667.52 = 167,112/x
  3. Step 3: Cross multiply
    541,059.84x = 811,667.52 × 167,112
  4. Step 4: Simplify right side
    541,059.84x = 135,639,382,602.24
  5. Step 5: Solve for x
    x = 135,639,382,602.24/541,059.84
  6. Step 6: Final answer
    x = 250,692.02

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Why These Related Problems?

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