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Finding the Fourth Proportional to 178,141.74, 267,206.10 and 53,479.50

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Solution

The fourth proportional to 178,141.74, 267,206.10 and 53,479.50 is: 80,217.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,141.74 : 267,206.10 = 53,479.50 : x
  2. Step 2: Convert to fraction form
    178,141.74/267,206.10 = 53,479.50/x
  3. Step 3: Cross multiply
    178,141.74x = 267,206.10 × 53,479.50
  4. Step 4: Simplify right side
    178,141.74x = 14,290,048,624.95
  5. Step 5: Solve for x
    x = 14,290,048,624.95/178,141.74
  6. Step 6: Final answer
    x = 80,217.30

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