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Finding the Fourth Proportional to 109,780.20, 164,573.10 and 72,358.20

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Solution

The fourth proportional to 109,780.20, 164,573.10 and 72,358.20 is: 108,473.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,780.20 : 164,573.10 = 72,358.20 : x
  2. Step 2: Convert to fraction form
    109,780.20/164,573.10 = 72,358.20/x
  3. Step 3: Cross multiply
    109,780.20x = 164,573.10 × 72,358.20
  4. Step 4: Simplify right side
    109,780.20x = 11,908,213,284.42
  5. Step 5: Solve for x
    x = 11,908,213,284.42/109,780.20
  6. Step 6: Final answer
    x = 108,473.23

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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.