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Finding the Fourth Proportional to 209,604.62, 289,252.64 and 114,111.12

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Solution

The fourth proportional to 209,604.62, 289,252.64 and 114,111.12 is: 157,472.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,604.62 : 289,252.64 = 114,111.12 : x
  2. Step 2: Convert to fraction form
    209,604.62/289,252.64 = 114,111.12/x
  3. Step 3: Cross multiply
    209,604.62x = 289,252.64 × 114,111.12
  4. Step 4: Simplify right side
    209,604.62x = 33,006,942,713.36
  5. Step 5: Solve for x
    x = 33,006,942,713.36/209,604.62
  6. Step 6: Final answer
    x = 157,472.40

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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.