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Finding the Fourth Proportional to 114,857.10, 171,940.05 and 101,033.10

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Solution

The fourth proportional to 114,857.10, 171,940.05 and 101,033.10 is: 151,245.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,857.10 : 171,940.05 = 101,033.10 : x
  2. Step 2: Convert to fraction form
    114,857.10/171,940.05 = 101,033.10/x
  3. Step 3: Cross multiply
    114,857.10x = 171,940.05 × 101,033.10
  4. Step 4: Simplify right side
    114,857.10x = 17,371,636,265.66
  5. Step 5: Solve for x
    x = 17,371,636,265.66/114,857.10
  6. Step 6: Final answer
    x = 151,245.65

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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.