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Finding the Fourth Proportional to 271,981.40, 408,117.90 and 114,225.80

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Solution

The fourth proportional to 271,981.40, 408,117.90 and 114,225.80 is: 171,399.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,981.40 : 408,117.90 = 114,225.80 : x
  2. Step 2: Convert to fraction form
    271,981.40/408,117.90 = 114,225.80/x
  3. Step 3: Cross multiply
    271,981.40x = 408,117.90 × 114,225.80
  4. Step 4: Simplify right side
    271,981.40x = 46,617,593,621.82
  5. Step 5: Solve for x
    x = 46,617,593,621.82/271,981.40
  6. Step 6: Final answer
    x = 171,399.93

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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.