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Finding the Fourth Proportional to 178,548.49, 246,396.24 and 97,977.37

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Solution

The fourth proportional to 178,548.49, 246,396.24 and 97,977.37 is: 135,208.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,548.49 : 246,396.24 = 97,977.37 : x
  2. Step 2: Convert to fraction form
    178,548.49/246,396.24 = 97,977.37/x
  3. Step 3: Cross multiply
    178,548.49x = 246,396.24 × 97,977.37
  4. Step 4: Simplify right side
    178,548.49x = 24,141,254,341.11
  5. Step 5: Solve for x
    x = 24,141,254,341.11/178,548.49
  6. Step 6: Final answer
    x = 135,208.39

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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.