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Finding the Fourth Proportional to 114,614.10, 171,921.15 and 106,838.10

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Solution

The fourth proportional to 114,614.10, 171,921.15 and 106,838.10 is: 160,257.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,614.10 : 171,921.15 = 106,838.10 : x
  2. Step 2: Convert to fraction form
    114,614.10/171,921.15 = 106,838.10/x
  3. Step 3: Cross multiply
    114,614.10x = 171,921.15 × 106,838.10
  4. Step 4: Simplify right side
    114,614.10x = 18,367,729,015.82
  5. Step 5: Solve for x
    x = 18,367,729,015.82/114,614.10
  6. Step 6: Final answer
    x = 160,257.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.