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Finding the Fourth Proportional to 178,549, 246,396.93 and 97,977.87

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Solution

The fourth proportional to 178,549, 246,396.93 and 97,977.87 is: 135,209.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,549 : 246,396.93 = 97,977.87 : x
  2. Step 2: Convert to fraction form
    178,549/246,396.93 = 97,977.87/x
  3. Step 3: Cross multiply
    178,549x = 246,396.93 × 97,977.87
  4. Step 4: Simplify right side
    178,549x = 24,141,446,375.94
  5. Step 5: Solve for x
    x = 24,141,446,375.94/178,549
  6. Step 6: Final answer
    x = 135,209.08

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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.