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Finding the Fourth Proportional to 114,210, 171,315 and 31,104

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Solution

The fourth proportional to 114,210, 171,315 and 31,104 is: 46,656

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,210 : 171,315 = 31,104 : x
  2. Step 2: Convert to fraction form
    114,210/171,315 = 31,104/x
  3. Step 3: Cross multiply
    114,210x = 171,315 × 31,104
  4. Step 4: Simplify right side
    114,210x = 5,328,581,760
  5. Step 5: Solve for x
    x = 5,328,581,760/114,210
  6. Step 6: Final answer
    x = 46,656

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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.