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Finding the Fourth Proportional to 109,491.90, 164,124.45 and 59,466.30

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Solution

The fourth proportional to 109,491.90, 164,124.45 and 59,466.30 is: 89,137.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,491.90 : 164,124.45 = 59,466.30 : x
  2. Step 2: Convert to fraction form
    109,491.90/164,124.45 = 59,466.30/x
  3. Step 3: Cross multiply
    109,491.90x = 164,124.45 × 59,466.30
  4. Step 4: Simplify right side
    109,491.90x = 9,759,873,781.04
  5. Step 5: Solve for x
    x = 9,759,873,781.04/109,491.90
  6. Step 6: Final answer
    x = 89,137.86

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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.