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Finding the Fourth Proportional to 118,182, 177,273.65 and 29,435.51

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Solution

The fourth proportional to 118,182, 177,273.65 and 29,435.51 is: 44,153.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,182 : 177,273.65 = 29,435.51 : x
  2. Step 2: Convert to fraction form
    118,182/177,273.65 = 29,435.51/x
  3. Step 3: Cross multiply
    118,182x = 177,273.65 × 29,435.51
  4. Step 4: Simplify right side
    118,182x = 5,218,140,297.31
  5. Step 5: Solve for x
    x = 5,218,140,297.31/118,182
  6. Step 6: Final answer
    x = 44,153.43

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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.