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Finding the Fourth Proportional to 118,476.12, 177,745.34 and 42,582.33

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Solution

The fourth proportional to 118,476.12, 177,745.34 and 42,582.33 is: 63,884.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,476.12 : 177,745.34 = 42,582.33 : x
  2. Step 2: Convert to fraction form
    118,476.12/177,745.34 = 42,582.33/x
  3. Step 3: Cross multiply
    118,476.12x = 177,745.34 × 42,582.33
  4. Step 4: Simplify right side
    118,476.12x = 7,568,810,510.93
  5. Step 5: Solve for x
    x = 7,568,810,510.93/118,476.12
  6. Step 6: Final answer
    x = 63,884.69

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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.