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Finding the Fourth Proportional to 109,855.70, 164,783.55 and 72,433.70

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Solution

The fourth proportional to 109,855.70, 164,783.55 and 72,433.70 is: 108,650.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,855.70 : 164,783.55 = 72,433.70 : x
  2. Step 2: Convert to fraction form
    109,855.70/164,783.55 = 72,433.70/x
  3. Step 3: Cross multiply
    109,855.70x = 164,783.55 × 72,433.70
  4. Step 4: Simplify right side
    109,855.70x = 11,935,882,225.64
  5. Step 5: Solve for x
    x = 11,935,882,225.64/109,855.70
  6. Step 6: Final answer
    x = 108,650.55

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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.