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Finding the Fourth Proportional to 109,920.60, 164,880.90 and 83,348.55

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Solution

The fourth proportional to 109,920.60, 164,880.90 and 83,348.55 is: 125,022.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,920.60 : 164,880.90 = 83,348.55 : x
  2. Step 2: Convert to fraction form
    109,920.60/164,880.90 = 83,348.55/x
  3. Step 3: Cross multiply
    109,920.60x = 164,880.90 × 83,348.55
  4. Step 4: Simplify right side
    109,920.60x = 13,742,583,937.70
  5. Step 5: Solve for x
    x = 13,742,583,937.70/109,920.60
  6. Step 6: Final answer
    x = 125,022.83

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1.5x scale

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.