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Finding the Fourth Proportional to 178,446.44, 246,262.98 and 97,877.36

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Solution

The fourth proportional to 178,446.44, 246,262.98 and 97,877.36 is: 135,074.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,446.44 : 246,262.98 = 97,877.36 : x
  2. Step 2: Convert to fraction form
    178,446.44/246,262.98 = 97,877.36/x
  3. Step 3: Cross multiply
    178,446.44x = 246,262.98 × 97,877.36
  4. Step 4: Simplify right side
    178,446.44x = 24,103,571,330.83
  5. Step 5: Solve for x
    x = 24,103,571,330.83/178,446.44
  6. Step 6: Final answer
    x = 135,074.54

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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.