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Finding the Fourth Proportional to 178,264.52, 245,994.36 and 97,676

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Solution

The fourth proportional to 178,264.52, 245,994.36 and 97,676 is: 134,787.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,264.52 : 245,994.36 = 97,676 : x
  2. Step 2: Convert to fraction form
    178,264.52/245,994.36 = 97,676/x
  3. Step 3: Cross multiply
    178,264.52x = 245,994.36 × 97,676
  4. Step 4: Simplify right side
    178,264.52x = 24,027,745,107.36
  5. Step 5: Solve for x
    x = 24,027,745,107.36/178,264.52
  6. Step 6: Final answer
    x = 134,787.03

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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.