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Finding the Fourth Proportional to 265,816.64, 366,826.68 and 144,958.16

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Solution

The fourth proportional to 265,816.64, 366,826.68 and 144,958.16 is: 200,042.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,816.64 : 366,826.68 = 144,958.16 : x
  2. Step 2: Convert to fraction form
    265,816.64/366,826.68 = 144,958.16/x
  3. Step 3: Cross multiply
    265,816.64x = 366,826.68 × 144,958.16
  4. Step 4: Simplify right side
    265,816.64x = 53,174,520,571.71
  5. Step 5: Solve for x
    x = 53,174,520,571.71/265,816.64
  6. Step 6: Final answer
    x = 200,042.11

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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.