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Finding the Fourth Proportional to 265,077.82, 365,914.02 and 180,246.52

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Solution

The fourth proportional to 265,077.82, 365,914.02 and 180,246.52 is: 248,812.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,077.82 : 365,914.02 = 180,246.52 : x
  2. Step 2: Convert to fraction form
    265,077.82/365,914.02 = 180,246.52/x
  3. Step 3: Cross multiply
    265,077.82x = 365,914.02 × 180,246.52
  4. Step 4: Simplify right side
    265,077.82x = 65,954,728,724.21
  5. Step 5: Solve for x
    x = 65,954,728,724.21/265,077.82
  6. Step 6: Final answer
    x = 248,812.70

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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.