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Finding the Fourth Proportional to 111,162.78, 166,834.08 and 86,143.50

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Solution

The fourth proportional to 111,162.78, 166,834.08 and 86,143.50 is: 129,284.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,162.78 : 166,834.08 = 86,143.50 : x
  2. Step 2: Convert to fraction form
    111,162.78/166,834.08 = 86,143.50/x
  3. Step 3: Cross multiply
    111,162.78x = 166,834.08 × 86,143.50
  4. Step 4: Simplify right side
    111,162.78x = 14,371,671,570.48
  5. Step 5: Solve for x
    x = 14,371,671,570.48/111,162.78
  6. Step 6: Final answer
    x = 129,284.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.