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Finding the Fourth Proportional to 111,321, 166,562.19 and 78,106.68

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Solution

The fourth proportional to 111,321, 166,562.19 and 78,106.68 is: 116,865.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,321 : 166,562.19 = 78,106.68 : x
  2. Step 2: Convert to fraction form
    111,321/166,562.19 = 78,106.68/x
  3. Step 3: Cross multiply
    111,321x = 166,562.19 × 78,106.68
  4. Step 4: Simplify right side
    111,321x = 13,009,619,674.43
  5. Step 5: Solve for x
    x = 13,009,619,674.43/111,321
  6. Step 6: Final answer
    x = 116,865.82

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