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Finding the Fourth Proportional to 254,748.40, 381,685.20 and 165,956.20

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Solution

The fourth proportional to 254,748.40, 381,685.20 and 165,956.20 is: 248,649.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,748.40 : 381,685.20 = 165,956.20 : x
  2. Step 2: Convert to fraction form
    254,748.40/381,685.20 = 165,956.20/x
  3. Step 3: Cross multiply
    254,748.40x = 381,685.20 × 165,956.20
  4. Step 4: Simplify right side
    254,748.40x = 63,343,025,388.24
  5. Step 5: Solve for x
    x = 63,343,025,388.24/254,748.40
  6. Step 6: Final answer
    x = 248,649.36

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