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Finding the Fourth Proportional to 533,154.84, 799,732.26 and 178,168.86

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Solution

The fourth proportional to 533,154.84, 799,732.26 and 178,168.86 is: 267,253.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,154.84 : 799,732.26 = 178,168.86 : x
  2. Step 2: Convert to fraction form
    533,154.84/799,732.26 = 178,168.86/x
  3. Step 3: Cross multiply
    533,154.84x = 799,732.26 × 178,168.86
  4. Step 4: Simplify right side
    533,154.84x = 142,487,381,194.45
  5. Step 5: Solve for x
    x = 142,487,381,194.45/533,154.84
  6. Step 6: Final answer
    x = 267,253.28

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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.