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Finding the Fourth Proportional to 102,909.40, 154,364.10 and 36,424.60

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Solution

The fourth proportional to 102,909.40, 154,364.10 and 36,424.60 is: 54,636.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,909.40 : 154,364.10 = 36,424.60 : x
  2. Step 2: Convert to fraction form
    102,909.40/154,364.10 = 36,424.60/x
  3. Step 3: Cross multiply
    102,909.40x = 154,364.10 × 36,424.60
  4. Step 4: Simplify right side
    102,909.40x = 5,622,650,596.86
  5. Step 5: Solve for x
    x = 5,622,650,596.86/102,909.40
  6. Step 6: Final answer
    x = 54,636.90

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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.