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Finding the Fourth Proportional to 110,833.12, 166,239.44 and 45,164

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Solution

The fourth proportional to 110,833.12, 166,239.44 and 45,164 is: 67,741.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,833.12 : 166,239.44 = 45,164 : x
  2. Step 2: Convert to fraction form
    110,833.12/166,239.44 = 45,164/x
  3. Step 3: Cross multiply
    110,833.12x = 166,239.44 × 45,164
  4. Step 4: Simplify right side
    110,833.12x = 7,508,038,068.16
  5. Step 5: Solve for x
    x = 7,508,038,068.16/110,833.12
  6. Step 6: Final answer
    x = 67,741.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.