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Finding the Fourth Proportional to 209,662.56, 289,324.44 and 114,168.96

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Solution

The fourth proportional to 209,662.56, 289,324.44 and 114,168.96 is: 157,547.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,662.56 : 289,324.44 = 114,168.96 : x
  2. Step 2: Convert to fraction form
    209,662.56/289,324.44 = 114,168.96/x
  3. Step 3: Cross multiply
    209,662.56x = 289,324.44 × 114,168.96
  4. Step 4: Simplify right side
    209,662.56x = 33,031,870,417.38
  5. Step 5: Solve for x
    x = 33,031,870,417.38/209,662.56
  6. Step 6: Final answer
    x = 157,547.78

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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.