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Finding the Fourth Proportional to 178,751.14, 268,126.40 and 45,631.38

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Solution

The fourth proportional to 178,751.14, 268,126.40 and 45,631.38 is: 68,446.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,751.14 : 268,126.40 = 45,631.38 : x
  2. Step 2: Convert to fraction form
    178,751.14/268,126.40 = 45,631.38/x
  3. Step 3: Cross multiply
    178,751.14x = 268,126.40 × 45,631.38
  4. Step 4: Simplify right side
    178,751.14x = 12,234,977,646.43
  5. Step 5: Solve for x
    x = 12,234,977,646.43/178,751.14
  6. Step 6: Final answer
    x = 68,446.99

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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.