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Finding the Fourth Proportional to 265,065.87, 365,792.49 and 144,208.03

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Solution

The fourth proportional to 265,065.87, 365,792.49 and 144,208.03 is: 199,007.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,065.87 : 365,792.49 = 144,208.03 : x
  2. Step 2: Convert to fraction form
    265,065.87/365,792.49 = 144,208.03/x
  3. Step 3: Cross multiply
    265,065.87x = 365,792.49 × 144,208.03
  4. Step 4: Simplify right side
    265,065.87x = 52,750,213,979.86
  5. Step 5: Solve for x
    x = 52,750,213,979.86/265,065.87
  6. Step 6: Final answer
    x = 199,007.94

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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.