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Finding the Fourth Proportional to 119,548.82, 164,980.77 and 65,837.63

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Solution

The fourth proportional to 119,548.82, 164,980.77 and 65,837.63 is: 90,857.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,548.82 : 164,980.77 = 65,837.63 : x
  2. Step 2: Convert to fraction form
    119,548.82/164,980.77 = 65,837.63/x
  3. Step 3: Cross multiply
    119,548.82x = 164,980.77 × 65,837.63
  4. Step 4: Simplify right side
    119,548.82x = 10,861,942,892.38
  5. Step 5: Solve for x
    x = 10,861,942,892.38/119,548.82
  6. Step 6: Final answer
    x = 90,857.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.