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Finding the Fourth Proportional to 146,271.42, 201,869.46 and 105,469.11

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Solution

The fourth proportional to 146,271.42, 201,869.46 and 105,469.11 is: 145,558.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,271.42 : 201,869.46 = 105,469.11 : x
  2. Step 2: Convert to fraction form
    146,271.42/201,869.46 = 105,469.11/x
  3. Step 3: Cross multiply
    146,271.42x = 201,869.46 × 105,469.11
  4. Step 4: Simplify right side
    146,271.42x = 21,290,992,282.38
  5. Step 5: Solve for x
    x = 21,290,992,282.38/146,271.42
  6. Step 6: Final answer
    x = 145,558.12

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Why These Related Problems?

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