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Finding the Fourth Proportional to 151,954.67, 209,686.96 and 83,971

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Solution

The fourth proportional to 151,954.67, 209,686.96 and 83,971 is: 115,874.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,954.67 : 209,686.96 = 83,971 : x
  2. Step 2: Convert to fraction form
    151,954.67/209,686.96 = 83,971/x
  3. Step 3: Cross multiply
    151,954.67x = 209,686.96 × 83,971
  4. Step 4: Simplify right side
    151,954.67x = 17,607,623,298.31
  5. Step 5: Solve for x
    x = 17,607,623,298.31/151,954.67
  6. Step 6: Final answer
    x = 115,874.18

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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.