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Finding the Fourth Proportional to 156,909.90, 235,219.05 and 109,524.90

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Solution

The fourth proportional to 156,909.90, 235,219.05 and 109,524.90 is: 164,185.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,909.90 : 235,219.05 = 109,524.90 : x
  2. Step 2: Convert to fraction form
    156,909.90/235,219.05 = 109,524.90/x
  3. Step 3: Cross multiply
    156,909.90x = 235,219.05 × 109,524.90
  4. Step 4: Simplify right side
    156,909.90x = 25,762,342,929.35
  5. Step 5: Solve for x
    x = 25,762,342,929.35/156,909.90
  6. Step 6: Final answer
    x = 164,185.58

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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.