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Finding the Fourth Proportional to 111,364.14, 166,966.83 and 52,167.51

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Solution

The fourth proportional to 111,364.14, 166,966.83 and 52,167.51 is: 78,214.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,364.14 : 166,966.83 = 52,167.51 : x
  2. Step 2: Convert to fraction form
    111,364.14/166,966.83 = 52,167.51/x
  3. Step 3: Cross multiply
    111,364.14x = 166,966.83 × 52,167.51
  4. Step 4: Simplify right side
    111,364.14x = 8,710,243,773.69
  5. Step 5: Solve for x
    x = 8,710,243,773.69/111,364.14
  6. Step 6: Final answer
    x = 78,214.08

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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.