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Finding the Fourth Proportional to 109,905.33, 164,599.65 and 53,568.90

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Solution

The fourth proportional to 109,905.33, 164,599.65 and 53,568.90 is: 80,227.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,905.33 : 164,599.65 = 53,568.90 : x
  2. Step 2: Convert to fraction form
    109,905.33/164,599.65 = 53,568.90/x
  3. Step 3: Cross multiply
    109,905.33x = 164,599.65 × 53,568.90
  4. Step 4: Simplify right side
    109,905.33x = 8,817,421,774.52
  5. Step 5: Solve for x
    x = 8,817,421,774.52/109,905.33
  6. Step 6: Final answer
    x = 80,227.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.