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Finding the Fourth Proportional to 186,746.60, 280,135.70 and 80,135.21

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Solution

The fourth proportional to 186,746.60, 280,135.70 and 80,135.21 is: 120,209.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,746.60 : 280,135.70 = 80,135.21 : x
  2. Step 2: Convert to fraction form
    186,746.60/280,135.70 = 80,135.21/x
  3. Step 3: Cross multiply
    186,746.60x = 280,135.70 × 80,135.21
  4. Step 4: Simplify right side
    186,746.60x = 22,448,733,148.00
  5. Step 5: Solve for x
    x = 22,448,733,148.00/186,746.60
  6. Step 6: Final answer
    x = 120,209.59

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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.