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Finding the Fourth Proportional to 178,980.52, 268,336.14 and 154,311.16

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Solution

The fourth proportional to 178,980.52, 268,336.14 and 154,311.16 is: 231,350.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,980.52 : 268,336.14 = 154,311.16 : x
  2. Step 2: Convert to fraction form
    178,980.52/268,336.14 = 154,311.16/x
  3. Step 3: Cross multiply
    178,980.52x = 268,336.14 × 154,311.16
  4. Step 4: Simplify right side
    178,980.52x = 41,407,261,033.32
  5. Step 5: Solve for x
    x = 41,407,261,033.32/178,980.52
  6. Step 6: Final answer
    x = 231,350.66

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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.