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Finding the Fourth Proportional to 533,123.55, 799,726.62 and 178,138.80

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Solution

The fourth proportional to 533,123.55, 799,726.62 and 178,138.80 is: 267,222.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,123.55 : 799,726.62 = 178,138.80 : x
  2. Step 2: Convert to fraction form
    533,123.55/799,726.62 = 178,138.80/x
  3. Step 3: Cross multiply
    533,123.55x = 799,726.62 × 178,138.80
  4. Step 4: Simplify right side
    533,123.55x = 142,462,340,414.86
  5. Step 5: Solve for x
    x = 142,462,340,414.86/533,123.55
  6. Step 6: Final answer
    x = 267,222.00

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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.