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Finding the Fourth Proportional to 146,177, 219,272.70 and 47,681

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Solution

The fourth proportional to 146,177, 219,272.70 and 47,681 is: 71,523.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,177 : 219,272.70 = 47,681 : x
  2. Step 2: Convert to fraction form
    146,177/219,272.70 = 47,681/x
  3. Step 3: Cross multiply
    146,177x = 219,272.70 × 47,681
  4. Step 4: Simplify right side
    146,177x = 10,455,141,608.70
  5. Step 5: Solve for x
    x = 10,455,141,608.70/146,177
  6. Step 6: Final answer
    x = 71,523.85

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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.