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Finding the Fourth Proportional to 118,977.26, 164,185.72 and 76,535.69

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Solution

The fourth proportional to 118,977.26, 164,185.72 and 76,535.69 is: 105,617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,977.26 : 164,185.72 = 76,535.69 : x
  2. Step 2: Convert to fraction form
    118,977.26/164,185.72 = 76,535.69/x
  3. Step 3: Cross multiply
    118,977.26x = 164,185.72 × 76,535.69
  4. Step 4: Simplify right side
    118,977.26x = 12,566,066,356.08
  5. Step 5: Solve for x
    x = 12,566,066,356.08/118,977.26
  6. Step 6: Final answer
    x = 105,617.38

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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.