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Finding the Fourth Proportional to 119,072.16, 164,321.46 and 65,362.14

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Solution

The fourth proportional to 119,072.16, 164,321.46 and 65,362.14 is: 90,200.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,072.16 : 164,321.46 = 65,362.14 : x
  2. Step 2: Convert to fraction form
    119,072.16/164,321.46 = 65,362.14/x
  3. Step 3: Cross multiply
    119,072.16x = 164,321.46 × 65,362.14
  4. Step 4: Simplify right side
    119,072.16x = 10,740,402,273.52
  5. Step 5: Solve for x
    x = 10,740,402,273.52/119,072.16
  6. Step 6: Final answer
    x = 90,200.78

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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.