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Finding the Fourth Proportional to 109,552.64, 164,396.99 and 70,138.04

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Solution

The fourth proportional to 109,552.64, 164,396.99 and 70,138.04 is: 105,250.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,552.64 : 164,396.99 = 70,138.04 : x
  2. Step 2: Convert to fraction form
    109,552.64/164,396.99 = 70,138.04/x
  3. Step 3: Cross multiply
    109,552.64x = 164,396.99 × 70,138.04
  4. Step 4: Simplify right side
    109,552.64x = 11,530,482,013.86
  5. Step 5: Solve for x
    x = 11,530,482,013.86/109,552.64
  6. Step 6: Final answer
    x = 105,250.61

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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.