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Finding the Fourth Proportional to 254,826.77, 382,535.43 and 136,728.77

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Solution

The fourth proportional to 254,826.77, 382,535.43 and 136,728.77 is: 205,251.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,826.77 : 382,535.43 = 136,728.77 : x
  2. Step 2: Convert to fraction form
    254,826.77/382,535.43 = 136,728.77/x
  3. Step 3: Cross multiply
    254,826.77x = 382,535.43 × 136,728.77
  4. Step 4: Simplify right side
    254,826.77x = 52,303,596,399.91
  5. Step 5: Solve for x
    x = 52,303,596,399.91/254,826.77
  6. Step 6: Final answer
    x = 205,251.58

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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.