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Finding the Fourth Proportional to 105,999.56, 158,653.18 and 77,912.20

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Solution

The fourth proportional to 105,999.56, 158,653.18 and 77,912.20 is: 116,613.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,999.56 : 158,653.18 = 77,912.20 : x
  2. Step 2: Convert to fraction form
    105,999.56/158,653.18 = 77,912.20/x
  3. Step 3: Cross multiply
    105,999.56x = 158,653.18 × 77,912.20
  4. Step 4: Simplify right side
    105,999.56x = 12,361,018,290.80
  5. Step 5: Solve for x
    x = 12,361,018,290.80/105,999.56
  6. Step 6: Final answer
    x = 116,613.86

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1.5x scale

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.