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Finding the Fourth Proportional to 265,843.27, 398,930.87 and 177,158.98

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Solution

The fourth proportional to 265,843.27, 398,930.87 and 177,158.98 is: 265,849.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,843.27 : 398,930.87 = 177,158.98 : x
  2. Step 2: Convert to fraction form
    265,843.27/398,930.87 = 177,158.98/x
  3. Step 3: Cross multiply
    265,843.27x = 398,930.87 × 177,158.98
  4. Step 4: Simplify right side
    265,843.27x = 70,674,186,019.71
  5. Step 5: Solve for x
    x = 70,674,186,019.71/265,843.27
  6. Step 6: Final answer
    x = 265,849.07

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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.