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Finding the Fourth Proportional to 109,265.58, 163,858.82 and 38,168.37

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Solution

The fourth proportional to 109,265.58, 163,858.82 and 38,168.37 is: 57,238.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,265.58 : 163,858.82 = 38,168.37 : x
  2. Step 2: Convert to fraction form
    109,265.58/163,858.82 = 38,168.37/x
  3. Step 3: Cross multiply
    109,265.58x = 163,858.82 × 38,168.37
  4. Step 4: Simplify right side
    109,265.58x = 6,254,223,878.68
  5. Step 5: Solve for x
    x = 6,254,223,878.68/109,265.58
  6. Step 6: Final answer
    x = 57,238.74

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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.