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Finding the Fourth Proportional to 142,078.60, 213,348.30 and 102,910.60

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Solution

The fourth proportional to 142,078.60, 213,348.30 and 102,910.60 is: 154,532.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,078.60 : 213,348.30 = 102,910.60 : x
  2. Step 2: Convert to fraction form
    142,078.60/213,348.30 = 102,910.60/x
  3. Step 3: Cross multiply
    142,078.60x = 213,348.30 × 102,910.60
  4. Step 4: Simplify right side
    142,078.60x = 21,955,801,561.98
  5. Step 5: Solve for x
    x = 21,955,801,561.98/142,078.60
  6. Step 6: Final answer
    x = 154,532.78

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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.