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Finding the Fourth Proportional to 102,808.40, 154,212.60 and 86,478.80

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Solution

The fourth proportional to 102,808.40, 154,212.60 and 86,478.80 is: 129,718.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,808.40 : 154,212.60 = 86,478.80 : x
  2. Step 2: Convert to fraction form
    102,808.40/154,212.60 = 86,478.80/x
  3. Step 3: Cross multiply
    102,808.40x = 154,212.60 × 86,478.80
  4. Step 4: Simplify right side
    102,808.40x = 13,336,120,592.88
  5. Step 5: Solve for x
    x = 13,336,120,592.88/102,808.40
  6. Step 6: Final answer
    x = 129,718.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.