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Finding the Fourth Proportional to 188,809.86, 283,117.40 and 55,672.82

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Solution

The fourth proportional to 188,809.86, 283,117.40 and 55,672.82 is: 83,480.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,809.86 : 283,117.40 = 55,672.82 : x
  2. Step 2: Convert to fraction form
    188,809.86/283,117.40 = 55,672.82/x
  3. Step 3: Cross multiply
    188,809.86x = 283,117.40 × 55,672.82
  4. Step 4: Simplify right side
    188,809.86x = 15,761,943,782.16
  5. Step 5: Solve for x
    x = 15,761,943,782.16/188,809.86
  6. Step 6: Final answer
    x = 83,480.51

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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.