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Finding the Fourth Proportional to 109,354.50, 150,909.21 and 59,053.50

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Solution

The fourth proportional to 109,354.50, 150,909.21 and 59,053.50 is: 81,493.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,354.50 : 150,909.21 = 59,053.50 : x
  2. Step 2: Convert to fraction form
    109,354.50/150,909.21 = 59,053.50/x
  3. Step 3: Cross multiply
    109,354.50x = 150,909.21 × 59,053.50
  4. Step 4: Simplify right side
    109,354.50x = 8,911,717,032.74
  5. Step 5: Solve for x
    x = 8,911,717,032.74/109,354.50
  6. Step 6: Final answer
    x = 81,493.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.