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Finding the Fourth Proportional to 109,425, 164,202.03 and 46,241.04

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Solution

The fourth proportional to 109,425, 164,202.03 and 46,241.04 is: 69,388.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,425 : 164,202.03 = 46,241.04 : x
  2. Step 2: Convert to fraction form
    109,425/164,202.03 = 46,241.04/x
  3. Step 3: Cross multiply
    109,425x = 164,202.03 × 46,241.04
  4. Step 4: Simplify right side
    109,425x = 7,592,872,637.31
  5. Step 5: Solve for x
    x = 7,592,872,637.31/109,425
  6. Step 6: Final answer
    x = 69,388.83

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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.