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Finding the Fourth Proportional to 533,124.16, 799,727.55 and 178,139.44

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Solution

The fourth proportional to 533,124.16, 799,727.55 and 178,139.44 is: 267,222.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,124.16 : 799,727.55 = 178,139.44 : x
  2. Step 2: Convert to fraction form
    533,124.16/799,727.55 = 178,139.44/x
  3. Step 3: Cross multiply
    533,124.16x = 799,727.55 × 178,139.44
  4. Step 4: Simplify right side
    533,124.16x = 142,463,017,909.57
  5. Step 5: Solve for x
    x = 142,463,017,909.57/533,124.16
  6. Step 6: Final answer
    x = 267,222.96

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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.