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Finding the Fourth Proportional to 111,687.15, 167,290.14 and 52,434.03

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Solution

The fourth proportional to 111,687.15, 167,290.14 and 52,434.03 is: 78,538.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,687.15 : 167,290.14 = 52,434.03 : x
  2. Step 2: Convert to fraction form
    111,687.15/167,290.14 = 52,434.03/x
  3. Step 3: Cross multiply
    111,687.15x = 167,290.14 × 52,434.03
  4. Step 4: Simplify right side
    111,687.15x = 8,771,696,219.46
  5. Step 5: Solve for x
    x = 8,771,696,219.46/111,687.15
  6. Step 6: Final answer
    x = 78,538.10

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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.