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Finding the Fourth Proportional to 147,474.54, 203,532.12 and 83,821.95

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Solution

The fourth proportional to 147,474.54, 203,532.12 and 83,821.95 is: 115,684.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,474.54 : 203,532.12 = 83,821.95 : x
  2. Step 2: Convert to fraction form
    147,474.54/203,532.12 = 83,821.95/x
  3. Step 3: Cross multiply
    147,474.54x = 203,532.12 × 83,821.95
  4. Step 4: Simplify right side
    147,474.54x = 17,060,459,186.03
  5. Step 5: Solve for x
    x = 17,060,459,186.03/147,474.54
  6. Step 6: Final answer
    x = 115,684.10

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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.