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Finding the Fourth Proportional to 146,090.40, 201,605.07 and 82,428.25

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Solution

The fourth proportional to 146,090.40, 201,605.07 and 82,428.25 is: 113,751.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,090.40 : 201,605.07 = 82,428.25 : x
  2. Step 2: Convert to fraction form
    146,090.40/201,605.07 = 82,428.25/x
  3. Step 3: Cross multiply
    146,090.40x = 201,605.07 × 82,428.25
  4. Step 4: Simplify right side
    146,090.40x = 16,617,953,111.23
  5. Step 5: Solve for x
    x = 16,617,953,111.23/146,090.40
  6. Step 6: Final answer
    x = 113,751.16

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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.