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Finding the Fourth Proportional to 147,441.36, 203,469 and 83,779.20

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Solution

The fourth proportional to 147,441.36, 203,469 and 83,779.20 is: 115,615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,441.36 : 203,469 = 83,779.20 : x
  2. Step 2: Convert to fraction form
    147,441.36/203,469 = 83,779.20/x
  3. Step 3: Cross multiply
    147,441.36x = 203,469 × 83,779.20
  4. Step 4: Simplify right side
    147,441.36x = 17,046,470,044.80
  5. Step 5: Solve for x
    x = 17,046,470,044.80/147,441.36
  6. Step 6: Final answer
    x = 115,615.25

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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.