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Finding the Fourth Proportional to 254,906.46, 382,334.84 and 77,415.01

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Solution

The fourth proportional to 254,906.46, 382,334.84 and 77,415.01 is: 116,114.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,906.46 : 382,334.84 = 77,415.01 : x
  2. Step 2: Convert to fraction form
    254,906.46/382,334.84 = 77,415.01/x
  3. Step 3: Cross multiply
    254,906.46x = 382,334.84 × 77,415.01
  4. Step 4: Simplify right side
    254,906.46x = 29,598,455,461.95
  5. Step 5: Solve for x
    x = 29,598,455,461.95/254,906.46
  6. Step 6: Final answer
    x = 116,114.97

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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.