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Finding the Fourth Proportional to 197,180, 272,108.40 and 107,756

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Solution

The fourth proportional to 197,180, 272,108.40 and 107,756 is: 148,703.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,180 : 272,108.40 = 107,756 : x
  2. Step 2: Convert to fraction form
    197,180/272,108.40 = 107,756/x
  3. Step 3: Cross multiply
    197,180x = 272,108.40 × 107,756
  4. Step 4: Simplify right side
    197,180x = 29,321,312,750.40
  5. Step 5: Solve for x
    x = 29,321,312,750.40/197,180
  6. Step 6: Final answer
    x = 148,703.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.