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Finding the Fourth Proportional to 146,641, 202,362.42 and 86,218.44

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Solution

The fourth proportional to 146,641, 202,362.42 and 86,218.44 is: 118,980.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,641 : 202,362.42 = 86,218.44 : x
  2. Step 2: Convert to fraction form
    146,641/202,362.42 = 86,218.44/x
  3. Step 3: Cross multiply
    146,641x = 202,362.42 × 86,218.44
  4. Step 4: Simplify right side
    146,641x = 17,447,372,167.02
  5. Step 5: Solve for x
    x = 17,447,372,167.02/146,641
  6. Step 6: Final answer
    x = 118,980.18

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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.