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Finding the Fourth Proportional to 118,231.20, 177,551.60 and 83,415.20

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Solution

The fourth proportional to 118,231.20, 177,551.60 and 83,415.20 is: 125,267.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,231.20 : 177,551.60 = 83,415.20 : x
  2. Step 2: Convert to fraction form
    118,231.20/177,551.60 = 83,415.20/x
  3. Step 3: Cross multiply
    118,231.20x = 177,551.60 × 83,415.20
  4. Step 4: Simplify right side
    118,231.20x = 14,810,502,224.32
  5. Step 5: Solve for x
    x = 14,810,502,224.32/118,231.20
  6. Step 6: Final answer
    x = 125,267.29

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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.