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Finding the Fourth Proportional to 178,266.72, 267,400.54 and 45,146.99

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Solution

The fourth proportional to 178,266.72, 267,400.54 and 45,146.99 is: 67,720.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,266.72 : 267,400.54 = 45,146.99 : x
  2. Step 2: Convert to fraction form
    178,266.72/267,400.54 = 45,146.99/x
  3. Step 3: Cross multiply
    178,266.72x = 267,400.54 × 45,146.99
  4. Step 4: Simplify right side
    178,266.72x = 12,072,329,505.37
  5. Step 5: Solve for x
    x = 12,072,329,505.37/178,266.72
  6. Step 6: Final answer
    x = 67,720.60

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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.