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Finding the Fourth Proportional to 111,643.83, 167,404.10 and 58,202.46

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Solution

The fourth proportional to 111,643.83, 167,404.10 and 58,202.46 is: 87,271.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,643.83 : 167,404.10 = 58,202.46 : x
  2. Step 2: Convert to fraction form
    111,643.83/167,404.10 = 58,202.46/x
  3. Step 3: Cross multiply
    111,643.83x = 167,404.10 × 58,202.46
  4. Step 4: Simplify right side
    111,643.83x = 9,743,330,434.09
  5. Step 5: Solve for x
    x = 9,743,330,434.09/111,643.83
  6. Step 6: Final answer
    x = 87,271.55

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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.