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Finding the Fourth Proportional to 209,885.40, 289,648.17 and 114,398.28

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Solution

The fourth proportional to 209,885.40, 289,648.17 and 114,398.28 is: 157,873.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,885.40 : 289,648.17 = 114,398.28 : x
  2. Step 2: Convert to fraction form
    209,885.40/289,648.17 = 114,398.28/x
  3. Step 3: Cross multiply
    209,885.40x = 289,648.17 × 114,398.28
  4. Step 4: Simplify right side
    209,885.40x = 33,135,252,453.15
  5. Step 5: Solve for x
    x = 33,135,252,453.15/209,885.40
  6. Step 6: Final answer
    x = 157,873.07

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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.