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Finding the Fourth Proportional to 178,732.50, 268,113.36 and 54,073.50

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Solution

The fourth proportional to 178,732.50, 268,113.36 and 54,073.50 is: 81,114.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,732.50 : 268,113.36 = 54,073.50 : x
  2. Step 2: Convert to fraction form
    178,732.50/268,113.36 = 54,073.50/x
  3. Step 3: Cross multiply
    178,732.50x = 268,113.36 × 54,073.50
  4. Step 4: Simplify right side
    178,732.50x = 14,497,827,771.96
  5. Step 5: Solve for x
    x = 14,497,827,771.96/178,732.50
  6. Step 6: Final answer
    x = 81,114.67

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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.