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Finding the Fourth Proportional to 291,901.32, 437,195.86 and 177,739.92

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Solution

The fourth proportional to 291,901.32, 437,195.86 and 177,739.92 is: 266,210.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,901.32 : 437,195.86 = 177,739.92 : x
  2. Step 2: Convert to fraction form
    291,901.32/437,195.86 = 177,739.92/x
  3. Step 3: Cross multiply
    291,901.32x = 437,195.86 × 177,739.92
  4. Step 4: Simplify right side
    291,901.32x = 77,707,157,180.73
  5. Step 5: Solve for x
    x = 77,707,157,180.73/291,901.32
  6. Step 6: Final answer
    x = 266,210.37

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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.