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Finding the Fourth Proportional to 265,727.16, 398,146.92 and 186,699.90

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Solution

The fourth proportional to 265,727.16, 398,146.92 and 186,699.90 is: 279,738.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,727.16 : 398,146.92 = 186,699.90 : x
  2. Step 2: Convert to fraction form
    265,727.16/398,146.92 = 186,699.90/x
  3. Step 3: Cross multiply
    265,727.16x = 398,146.92 × 186,699.90
  4. Step 4: Simplify right side
    265,727.16x = 74,333,990,149.31
  5. Step 5: Solve for x
    x = 74,333,990,149.31/265,727.16
  6. Step 6: Final answer
    x = 279,738.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.