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Finding the Fourth Proportional to 178,653.78, 246,541.14 and 98,082.63

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Solution

The fourth proportional to 178,653.78, 246,541.14 and 98,082.63 is: 135,353.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,653.78 : 246,541.14 = 98,082.63 : x
  2. Step 2: Convert to fraction form
    178,653.78/246,541.14 = 98,082.63/x
  3. Step 3: Cross multiply
    178,653.78x = 246,541.14 × 98,082.63
  4. Step 4: Simplify right side
    178,653.78x = 24,181,403,414.40
  5. Step 5: Solve for x
    x = 24,181,403,414.40/178,653.78
  6. Step 6: Final answer
    x = 135,353.44

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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.