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Finding the Fourth Proportional to 111,342.40, 166,624.80 and 77,905.60

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Solution

The fourth proportional to 111,342.40, 166,624.80 and 77,905.60 is: 116,586.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,342.40 : 166,624.80 = 77,905.60 : x
  2. Step 2: Convert to fraction form
    111,342.40/166,624.80 = 77,905.60/x
  3. Step 3: Cross multiply
    111,342.40x = 166,624.80 × 77,905.60
  4. Step 4: Simplify right side
    111,342.40x = 12,981,005,018.88
  5. Step 5: Solve for x
    x = 12,981,005,018.88/111,342.40
  6. Step 6: Final answer
    x = 116,586.36

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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.