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Finding the Fourth Proportional to 209,411.80, 289,162.81 and 194,215.93

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Solution

The fourth proportional to 209,411.80, 289,162.81 and 194,215.93 is: 268,179.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,411.80 : 289,162.81 = 194,215.93 : x
  2. Step 2: Convert to fraction form
    209,411.80/289,162.81 = 194,215.93/x
  3. Step 3: Cross multiply
    209,411.80x = 289,162.81 × 194,215.93
  4. Step 4: Simplify right side
    209,411.80x = 56,160,023,585.43
  5. Step 5: Solve for x
    x = 56,160,023,585.43/209,411.80
  6. Step 6: Final answer
    x = 268,179.85

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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.