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Finding the Fourth Proportional to 188,726.52, 283,050.90 and 83,478.36

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Solution

The fourth proportional to 188,726.52, 283,050.90 and 83,478.36 is: 125,200.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,726.52 : 283,050.90 = 83,478.36 : x
  2. Step 2: Convert to fraction form
    188,726.52/283,050.90 = 83,478.36/x
  3. Step 3: Cross multiply
    188,726.52x = 283,050.90 × 83,478.36
  4. Step 4: Simplify right side
    188,726.52x = 23,628,624,928.52
  5. Step 5: Solve for x
    x = 23,628,624,928.52/188,726.52
  6. Step 6: Final answer
    x = 125,200.34

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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.