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Finding the Fourth Proportional to 114,165, 171,199.26 and 34,214.31

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Solution

The fourth proportional to 114,165, 171,199.26 and 34,214.31 is: 51,307.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,165 : 171,199.26 = 34,214.31 : x
  2. Step 2: Convert to fraction form
    114,165/171,199.26 = 34,214.31/x
  3. Step 3: Cross multiply
    114,165x = 171,199.26 × 34,214.31
  4. Step 4: Simplify right side
    114,165x = 5,857,464,553.41
  5. Step 5: Solve for x
    x = 5,857,464,553.41/114,165
  6. Step 6: Final answer
    x = 51,307.01

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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.