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Finding the Fourth Proportional to 111,822.86, 154,314.27 and 83,270.22

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Solution

The fourth proportional to 111,822.86, 154,314.27 and 83,270.22 is: 114,911.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,822.86 : 154,314.27 = 83,270.22 : x
  2. Step 2: Convert to fraction form
    111,822.86/154,314.27 = 83,270.22/x
  3. Step 3: Cross multiply
    111,822.86x = 154,314.27 × 83,270.22
  4. Step 4: Simplify right side
    111,822.86x = 12,849,783,212.04
  5. Step 5: Solve for x
    x = 12,849,783,212.04/111,822.86
  6. Step 6: Final answer
    x = 114,911.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.