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Finding the Fourth Proportional to 257,186.16, 354,859.50 and 155,228.28

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Solution

The fourth proportional to 257,186.16, 354,859.50 and 155,228.28 is: 214,180.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,186.16 : 354,859.50 = 155,228.28 : x
  2. Step 2: Convert to fraction form
    257,186.16/354,859.50 = 155,228.28/x
  3. Step 3: Cross multiply
    257,186.16x = 354,859.50 × 155,228.28
  4. Step 4: Simplify right side
    257,186.16x = 55,084,229,826.66
  5. Step 5: Solve for x
    x = 55,084,229,826.66/257,186.16
  6. Step 6: Final answer
    x = 214,180.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.