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Finding the Fourth Proportional to 154,147, 212,722.86 and 83,491

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Solution

The fourth proportional to 154,147, 212,722.86 and 83,491 is: 115,217.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,147 : 212,722.86 = 83,491 : x
  2. Step 2: Convert to fraction form
    154,147/212,722.86 = 83,491/x
  3. Step 3: Cross multiply
    154,147x = 212,722.86 × 83,491
  4. Step 4: Simplify right side
    154,147x = 17,760,444,304.26
  5. Step 5: Solve for x
    x = 17,760,444,304.26/154,147
  6. Step 6: Final answer
    x = 115,217.58

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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.