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Finding the Fourth Proportional to 178,482, 267,733.95 and 53,823

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Solution

The fourth proportional to 178,482, 267,733.95 and 53,823 is: 80,737.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,482 : 267,733.95 = 53,823 : x
  2. Step 2: Convert to fraction form
    178,482/267,733.95 = 53,823/x
  3. Step 3: Cross multiply
    178,482x = 267,733.95 × 53,823
  4. Step 4: Simplify right side
    178,482x = 14,410,244,390.85
  5. Step 5: Solve for x
    x = 14,410,244,390.85/178,482
  6. Step 6: Final answer
    x = 80,737.80

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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.