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Finding the Fourth Proportional to 119,291.92, 164,623.11 and 65,577.07

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Solution

The fourth proportional to 119,291.92, 164,623.11 and 65,577.07 is: 90,496.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,291.92 : 164,623.11 = 65,577.07 : x
  2. Step 2: Convert to fraction form
    119,291.92/164,623.11 = 65,577.07/x
  3. Step 3: Cross multiply
    119,291.92x = 164,623.11 × 65,577.07
  4. Step 4: Simplify right side
    119,291.92x = 10,795,501,208.09
  5. Step 5: Solve for x
    x = 10,795,501,208.09/119,291.92
  6. Step 6: Final answer
    x = 90,496.50

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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.