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Finding the Fourth Proportional to 209,568.63, 289,192.98 and 114,069.63

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Solution

The fourth proportional to 209,568.63, 289,192.98 and 114,069.63 is: 157,409.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,568.63 : 289,192.98 = 114,069.63 : x
  2. Step 2: Convert to fraction form
    209,568.63/289,192.98 = 114,069.63/x
  3. Step 3: Cross multiply
    209,568.63x = 289,192.98 × 114,069.63
  4. Step 4: Simplify right side
    209,568.63x = 32,988,136,227.20
  5. Step 5: Solve for x
    x = 32,988,136,227.20/209,568.63
  6. Step 6: Final answer
    x = 157,409.71

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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.