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Finding the Fourth Proportional to 265,939.14, 366,996 and 152,761.86

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Solution

The fourth proportional to 265,939.14, 366,996 and 152,761.86 is: 210,811.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,939.14 : 366,996 = 152,761.86 : x
  2. Step 2: Convert to fraction form
    265,939.14/366,996 = 152,761.86/x
  3. Step 3: Cross multiply
    265,939.14x = 366,996 × 152,761.86
  4. Step 4: Simplify right side
    265,939.14x = 56,062,991,572.56
  5. Step 5: Solve for x
    x = 56,062,991,572.56/265,939.14
  6. Step 6: Final answer
    x = 210,811.36

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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.