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Finding the Fourth Proportional to 145,474.17, 200,751.20 and 84,222.94

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Solution

The fourth proportional to 145,474.17, 200,751.20 and 84,222.94 is: 116,225.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,474.17 : 200,751.20 = 84,222.94 : x
  2. Step 2: Convert to fraction form
    145,474.17/200,751.20 = 84,222.94/x
  3. Step 3: Cross multiply
    145,474.17x = 200,751.20 × 84,222.94
  4. Step 4: Simplify right side
    145,474.17x = 16,907,856,272.53
  5. Step 5: Solve for x
    x = 16,907,856,272.53/145,474.17
  6. Step 6: Final answer
    x = 116,225.83

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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.