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Finding the Fourth Proportional to 102,661, 154,052.94 and 44,293

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Solution

The fourth proportional to 102,661, 154,052.94 and 44,293 is: 66,466.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,661 : 154,052.94 = 44,293 : x
  2. Step 2: Convert to fraction form
    102,661/154,052.94 = 44,293/x
  3. Step 3: Cross multiply
    102,661x = 154,052.94 × 44,293
  4. Step 4: Simplify right side
    102,661x = 6,823,466,871.42
  5. Step 5: Solve for x
    x = 6,823,466,871.42/102,661
  6. Step 6: Final answer
    x = 66,466.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.