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Finding the Fourth Proportional to 106,302.96, 158,199.51 and 102,759.48

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Solution

The fourth proportional to 106,302.96, 158,199.51 and 102,759.48 is: 152,926.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,302.96 : 158,199.51 = 102,759.48 : x
  2. Step 2: Convert to fraction form
    106,302.96/158,199.51 = 102,759.48/x
  3. Step 3: Cross multiply
    106,302.96x = 158,199.51 × 102,759.48
  4. Step 4: Simplify right side
    106,302.96x = 16,256,499,383.85
  5. Step 5: Solve for x
    x = 16,256,499,383.85/106,302.96
  6. Step 6: Final answer
    x = 152,926.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.