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Finding the Fourth Proportional to 178,549.06, 246,389.42 and 97,974.58

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Solution

The fourth proportional to 178,549.06, 246,389.42 and 97,974.58 is: 135,200.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,549.06 : 246,389.42 = 97,974.58 : x
  2. Step 2: Convert to fraction form
    178,549.06/246,389.42 = 97,974.58/x
  3. Step 3: Cross multiply
    178,549.06x = 246,389.42 × 97,974.58
  4. Step 4: Simplify right side
    178,549.06x = 24,139,899,940.94
  5. Step 5: Solve for x
    x = 24,139,899,940.94/178,549.06
  6. Step 6: Final answer
    x = 135,200.38

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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.