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Finding the Fourth Proportional to 111,158.67, 166,686.98 and 47,948.50

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Solution

The fourth proportional to 111,158.67, 166,686.98 and 47,948.50 is: 71,900.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,158.67 : 166,686.98 = 47,948.50 : x
  2. Step 2: Convert to fraction form
    111,158.67/166,686.98 = 47,948.50/x
  3. Step 3: Cross multiply
    111,158.67x = 166,686.98 × 47,948.50
  4. Step 4: Simplify right side
    111,158.67x = 7,992,390,004.07
  5. Step 5: Solve for x
    x = 7,992,390,004.07/111,158.67
  6. Step 6: Final answer
    x = 71,900.73

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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.