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Finding the Fourth Proportional to 147,016.14, 202,796.64 and 106,683

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Solution

The fourth proportional to 147,016.14, 202,796.64 and 106,683 is: 147,160.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,016.14 : 202,796.64 = 106,683 : x
  2. Step 2: Convert to fraction form
    147,016.14/202,796.64 = 106,683/x
  3. Step 3: Cross multiply
    147,016.14x = 202,796.64 × 106,683
  4. Step 4: Simplify right side
    147,016.14x = 21,634,953,945.12
  5. Step 5: Solve for x
    x = 21,634,953,945.12/147,016.14
  6. Step 6: Final answer
    x = 147,160.40

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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.