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Finding the Fourth Proportional to 178,137.88, 245,833.05 and 97,563.94

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Solution

The fourth proportional to 178,137.88, 245,833.05 and 97,563.94 is: 134,639.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,137.88 : 245,833.05 = 97,563.94 : x
  2. Step 2: Convert to fraction form
    178,137.88/245,833.05 = 97,563.94/x
  3. Step 3: Cross multiply
    178,137.88x = 245,833.05 × 97,563.94
  4. Step 4: Simplify right side
    178,137.88x = 23,984,440,940.22
  5. Step 5: Solve for x
    x = 23,984,440,940.22/178,137.88
  6. Step 6: Final answer
    x = 134,639.76

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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.