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Finding the Fourth Proportional to 265,087.84, 365,406.24 and 180,057.28

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Solution

The fourth proportional to 265,087.84, 365,406.24 and 180,057.28 is: 248,197.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,087.84 : 365,406.24 = 180,057.28 : x
  2. Step 2: Convert to fraction form
    265,087.84/365,406.24 = 180,057.28/x
  3. Step 3: Cross multiply
    265,087.84x = 365,406.24 × 180,057.28
  4. Step 4: Simplify right side
    265,087.84x = 65,794,053,669.43
  5. Step 5: Solve for x
    x = 65,794,053,669.43/265,087.84
  6. Step 6: Final answer
    x = 248,197.18

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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.