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Finding the Fourth Proportional to 224,053.50, 309,194.79 and 123,449.34

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Solution

The fourth proportional to 224,053.50, 309,194.79 and 123,449.34 is: 170,360.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,053.50 : 309,194.79 = 123,449.34 : x
  2. Step 2: Convert to fraction form
    224,053.50/309,194.79 = 123,449.34/x
  3. Step 3: Cross multiply
    224,053.50x = 309,194.79 × 123,449.34
  4. Step 4: Simplify right side
    224,053.50x = 38,169,892,756.94
  5. Step 5: Solve for x
    x = 38,169,892,756.94/224,053.50
  6. Step 6: Final answer
    x = 170,360.62

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1.5x scale

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.