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Finding the Fourth Proportional to 118,111.20, 177,371.60 and 83,295.20

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Solution

The fourth proportional to 118,111.20, 177,371.60 and 83,295.20 is: 125,087.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,111.20 : 177,371.60 = 83,295.20 : x
  2. Step 2: Convert to fraction form
    118,111.20/177,371.60 = 83,295.20/x
  3. Step 3: Cross multiply
    118,111.20x = 177,371.60 × 83,295.20
  4. Step 4: Simplify right side
    118,111.20x = 14,774,202,896.32
  5. Step 5: Solve for x
    x = 14,774,202,896.32/118,111.20
  6. Step 6: Final answer
    x = 125,087.23

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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.