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Finding the Fourth Proportional to 209,892.04, 289,657.16 and 114,404.92

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Solution

The fourth proportional to 209,892.04, 289,657.16 and 114,404.92 is: 157,882.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,892.04 : 289,657.16 = 114,404.92 : x
  2. Step 2: Convert to fraction form
    209,892.04/289,657.16 = 114,404.92/x
  3. Step 3: Cross multiply
    209,892.04x = 289,657.16 × 114,404.92
  4. Step 4: Simplify right side
    209,892.04x = 33,138,204,217.23
  5. Step 5: Solve for x
    x = 33,138,204,217.23/209,892.04
  6. Step 6: Final answer
    x = 157,882.14

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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.