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Finding the Fourth Proportional to 105,922.89, 146,176.38 and 59,978.88

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Solution

The fourth proportional to 105,922.89, 146,176.38 and 59,978.88 is: 82,772.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,922.89 : 146,176.38 = 59,978.88 : x
  2. Step 2: Convert to fraction form
    105,922.89/146,176.38 = 59,978.88/x
  3. Step 3: Cross multiply
    105,922.89x = 146,176.38 × 59,978.88
  4. Step 4: Simplify right side
    105,922.89x = 8,767,495,554.85
  5. Step 5: Solve for x
    x = 8,767,495,554.85/105,922.89
  6. Step 6: Final answer
    x = 82,772.44

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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.