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Finding the Fourth Proportional to 109,421.90, 164,132.85 and 109,421.90

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Solution

The fourth proportional to 109,421.90, 164,132.85 and 109,421.90 is: 164,132.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,421.90 : 164,132.85 = 109,421.90 : x
  2. Step 2: Convert to fraction form
    109,421.90/164,132.85 = 109,421.90/x
  3. Step 3: Cross multiply
    109,421.90x = 164,132.85 × 109,421.90
  4. Step 4: Simplify right side
    109,421.90x = 17,959,728,299.42
  5. Step 5: Solve for x
    x = 17,959,728,299.42/109,421.90
  6. Step 6: Final answer
    x = 164,132.85

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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.