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Finding the Fourth Proportional to 116,161.85, 160,359.68 and 77,907.44

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Solution

The fourth proportional to 116,161.85, 160,359.68 and 77,907.44 is: 107,550.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,161.85 : 160,359.68 = 77,907.44 : x
  2. Step 2: Convert to fraction form
    116,161.85/160,359.68 = 77,907.44/x
  3. Step 3: Cross multiply
    116,161.85x = 160,359.68 × 77,907.44
  4. Step 4: Simplify right side
    116,161.85x = 12,493,212,743.69
  5. Step 5: Solve for x
    x = 12,493,212,743.69/116,161.85
  6. Step 6: Final answer
    x = 107,550.05

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1.5x scale

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.