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Finding the Fourth Proportional to 178,435, 246,240.30 and 98,947

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Solution

The fourth proportional to 178,435, 246,240.30 and 98,947 is: 136,546.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,435 : 246,240.30 = 98,947 : x
  2. Step 2: Convert to fraction form
    178,435/246,240.30 = 98,947/x
  3. Step 3: Cross multiply
    178,435x = 246,240.30 × 98,947
  4. Step 4: Simplify right side
    178,435x = 24,364,738,964.10
  5. Step 5: Solve for x
    x = 24,364,738,964.10/178,435
  6. Step 6: Final answer
    x = 136,546.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.