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Finding the Fourth Proportional to 127,143.36, 190,507.68 and 64,728

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Solution

The fourth proportional to 127,143.36, 190,507.68 and 64,728 is: 96,986.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,143.36 : 190,507.68 = 64,728 : x
  2. Step 2: Convert to fraction form
    127,143.36/190,507.68 = 64,728/x
  3. Step 3: Cross multiply
    127,143.36x = 190,507.68 × 64,728
  4. Step 4: Simplify right side
    127,143.36x = 12,331,181,111.04
  5. Step 5: Solve for x
    x = 12,331,181,111.04/127,143.36
  6. Step 6: Final answer
    x = 96,986.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.