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Finding the Fourth Proportional to 151,952.60, 209,693.22 and 83,974.16

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Solution

The fourth proportional to 151,952.60, 209,693.22 and 83,974.16 is: 115,883.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,952.60 : 209,693.22 = 83,974.16 : x
  2. Step 2: Convert to fraction form
    151,952.60/209,693.22 = 83,974.16/x
  3. Step 3: Cross multiply
    151,952.60x = 209,693.22 × 83,974.16
  4. Step 4: Simplify right side
    151,952.60x = 17,608,812,007.20
  5. Step 5: Solve for x
    x = 17,608,812,007.20/151,952.60
  6. Step 6: Final answer
    x = 115,883.58

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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.