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Finding the Fourth Proportional to 111,361.13, 166,962.33 and 52,164.50

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Solution

The fourth proportional to 111,361.13, 166,962.33 and 52,164.50 is: 78,209.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,361.13 : 166,962.33 = 52,164.50 : x
  2. Step 2: Convert to fraction form
    111,361.13/166,962.33 = 52,164.50/x
  3. Step 3: Cross multiply
    111,361.13x = 166,962.33 × 52,164.50
  4. Step 4: Simplify right side
    111,361.13x = 8,709,506,880.69
  5. Step 5: Solve for x
    x = 8,709,506,880.69/111,361.13
  6. Step 6: Final answer
    x = 78,209.58

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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.