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Finding the Fourth Proportional to 209,863.70, 289,612.12 and 114,370.47

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Solution

The fourth proportional to 209,863.70, 289,612.12 and 114,370.47 is: 157,831.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,863.70 : 289,612.12 = 114,370.47 : x
  2. Step 2: Convert to fraction form
    209,863.70/289,612.12 = 114,370.47/x
  3. Step 3: Cross multiply
    209,863.70x = 289,612.12 × 114,370.47
  4. Step 4: Simplify right side
    209,863.70x = 33,123,074,282.10
  5. Step 5: Solve for x
    x = 33,123,074,282.10/209,863.70
  6. Step 6: Final answer
    x = 157,831.37

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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.