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Finding the Fourth Proportional to 273,442.10, 409,871.55 and 104,897.30

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Solution

The fourth proportional to 273,442.10, 409,871.55 and 104,897.30 is: 157,234.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,442.10 : 409,871.55 = 104,897.30 : x
  2. Step 2: Convert to fraction form
    273,442.10/409,871.55 = 104,897.30/x
  3. Step 3: Cross multiply
    273,442.10x = 409,871.55 × 104,897.30
  4. Step 4: Simplify right side
    273,442.10x = 42,994,418,941.82
  5. Step 5: Solve for x
    x = 42,994,418,941.82/273,442.10
  6. Step 6: Final answer
    x = 157,234.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.