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Finding the Fourth Proportional to 208,925.20, 313,258.20 and 120,134.80

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Solution

The fourth proportional to 208,925.20, 313,258.20 and 120,134.80 is: 180,127.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,925.20 : 313,258.20 = 120,134.80 : x
  2. Step 2: Convert to fraction form
    208,925.20/313,258.20 = 120,134.80/x
  3. Step 3: Cross multiply
    208,925.20x = 313,258.20 × 120,134.80
  4. Step 4: Simplify right side
    208,925.20x = 37,633,211,205.36
  5. Step 5: Solve for x
    x = 37,633,211,205.36/208,925.20
  6. Step 6: Final answer
    x = 180,127.68

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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.