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Finding the Fourth Proportional to 111,555.84, 153,816.96 and 83,212.32

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Solution

The fourth proportional to 111,555.84, 153,816.96 and 83,212.32 is: 114,735.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,555.84 : 153,816.96 = 83,212.32 : x
  2. Step 2: Convert to fraction form
    111,555.84/153,816.96 = 83,212.32/x
  3. Step 3: Cross multiply
    111,555.84x = 153,816.96 × 83,212.32
  4. Step 4: Simplify right side
    111,555.84x = 12,799,466,096.95
  5. Step 5: Solve for x
    x = 12,799,466,096.95/111,555.84
  6. Step 6: Final answer
    x = 114,735.96

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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.