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Finding the Fourth Proportional to 271,761.86, 375,065.96 and 164,332.67

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Solution

The fourth proportional to 271,761.86, 375,065.96 and 164,332.67 is: 226,800.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,761.86 : 375,065.96 = 164,332.67 : x
  2. Step 2: Convert to fraction form
    271,761.86/375,065.96 = 164,332.67/x
  3. Step 3: Cross multiply
    271,761.86x = 375,065.96 × 164,332.67
  4. Step 4: Simplify right side
    271,761.86x = 61,635,589,811.25
  5. Step 5: Solve for x
    x = 61,635,589,811.25/271,761.86
  6. Step 6: Final answer
    x = 226,800.00

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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.