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Finding the Fourth Proportional to 274,748.60, 412,122.90 and 154,682.30

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Solution

The fourth proportional to 274,748.60, 412,122.90 and 154,682.30 is: 232,023.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,748.60 : 412,122.90 = 154,682.30 : x
  2. Step 2: Convert to fraction form
    274,748.60/412,122.90 = 154,682.30/x
  3. Step 3: Cross multiply
    274,748.60x = 412,122.90 × 154,682.30
  4. Step 4: Simplify right side
    274,748.60x = 63,748,118,054.67
  5. Step 5: Solve for x
    x = 63,748,118,054.67/274,748.60
  6. Step 6: Final answer
    x = 232,023.45

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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.