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Finding the Fourth Proportional to 119,311.58, 164,652.46 and 65,598.86

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Solution

The fourth proportional to 119,311.58, 164,652.46 and 65,598.86 is: 90,527.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,311.58 : 164,652.46 = 65,598.86 : x
  2. Step 2: Convert to fraction form
    119,311.58/164,652.46 = 65,598.86/x
  3. Step 3: Cross multiply
    119,311.58x = 164,652.46 × 65,598.86
  4. Step 4: Simplify right side
    119,311.58x = 10,801,013,672.20
  5. Step 5: Solve for x
    x = 10,801,013,672.20/119,311.58
  6. Step 6: Final answer
    x = 90,527.79

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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.