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Finding the Fourth Proportional to 254,510.40, 381,921.60 and 104,822.40

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Solution

The fourth proportional to 254,510.40, 381,921.60 and 104,822.40 is: 157,297.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,510.40 : 381,921.60 = 104,822.40 : x
  2. Step 2: Convert to fraction form
    254,510.40/381,921.60 = 104,822.40/x
  3. Step 3: Cross multiply
    254,510.40x = 381,921.60 × 104,822.40
  4. Step 4: Simplify right side
    254,510.40x = 40,033,938,723.84
  5. Step 5: Solve for x
    x = 40,033,938,723.84/254,510.40
  6. Step 6: Final answer
    x = 157,297.85

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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.