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Finding the Fourth Proportional to 178,343.70, 267,527.70 and 56,754.60

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Solution

The fourth proportional to 178,343.70, 267,527.70 and 56,754.60 is: 85,135.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,343.70 : 267,527.70 = 56,754.60 : x
  2. Step 2: Convert to fraction form
    178,343.70/267,527.70 = 56,754.60/x
  3. Step 3: Cross multiply
    178,343.70x = 267,527.70 × 56,754.60
  4. Step 4: Simplify right side
    178,343.70x = 15,183,427,602.42
  5. Step 5: Solve for x
    x = 15,183,427,602.42/178,343.70
  6. Step 6: Final answer
    x = 85,135.77

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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.