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Finding the Fourth Proportional to 224,766.70, 310,364.67 and 149,656.30

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Solution

The fourth proportional to 224,766.70, 310,364.67 and 149,656.30 is: 206,649.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,766.70 : 310,364.67 = 149,656.30 : x
  2. Step 2: Convert to fraction form
    224,766.70/310,364.67 = 149,656.30/x
  3. Step 3: Cross multiply
    224,766.70x = 310,364.67 × 149,656.30
  4. Step 4: Simplify right side
    224,766.70x = 46,448,028,162.92
  5. Step 5: Solve for x
    x = 46,448,028,162.92/224,766.70
  6. Step 6: Final answer
    x = 206,649.95

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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.