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Finding the Fourth Proportional to 102,647.20, 144,120.80 and 102,647.20

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Solution

The fourth proportional to 102,647.20, 144,120.80 and 102,647.20 is: 144,120.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,647.20 : 144,120.80 = 102,647.20 : x
  2. Step 2: Convert to fraction form
    102,647.20/144,120.80 = 102,647.20/x
  3. Step 3: Cross multiply
    102,647.20x = 144,120.80 × 102,647.20
  4. Step 4: Simplify right side
    102,647.20x = 14,793,596,581.76
  5. Step 5: Solve for x
    x = 14,793,596,581.76/102,647.20
  6. Step 6: Final answer
    x = 144,120.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.