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Finding the Fourth Proportional to 119,322.86, 164,669.80 and 65,611.98

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Solution

The fourth proportional to 119,322.86, 164,669.80 and 65,611.98 is: 90,546.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,322.86 : 164,669.80 = 65,611.98 : x
  2. Step 2: Convert to fraction form
    119,322.86/164,669.80 = 65,611.98/x
  3. Step 3: Cross multiply
    119,322.86x = 164,669.80 × 65,611.98
  4. Step 4: Simplify right side
    119,322.86x = 10,804,311,624.20
  5. Step 5: Solve for x
    x = 10,804,311,624.20/119,322.86
  6. Step 6: Final answer
    x = 90,546.87

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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.