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Finding the Fourth Proportional to 377,289.06, 565,934 and 96,806.32

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Solution

The fourth proportional to 377,289.06, 565,934 and 96,806.32 is: 145,209.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,289.06 : 565,934 = 96,806.32 : x
  2. Step 2: Convert to fraction form
    377,289.06/565,934 = 96,806.32/x
  3. Step 3: Cross multiply
    377,289.06x = 565,934 × 96,806.32
  4. Step 4: Simplify right side
    377,289.06x = 54,785,987,902.88
  5. Step 5: Solve for x
    x = 54,785,987,902.88/377,289.06
  6. Step 6: Final answer
    x = 145,209.59

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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.