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Finding the Fourth Proportional to 114,267, 171,511.36 and 55,144.32

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Solution

The fourth proportional to 114,267, 171,511.36 and 55,144.32 is: 82,769.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,267 : 171,511.36 = 55,144.32 : x
  2. Step 2: Convert to fraction form
    114,267/171,511.36 = 55,144.32/x
  3. Step 3: Cross multiply
    114,267x = 171,511.36 × 55,144.32
  4. Step 4: Simplify right side
    114,267x = 9,457,877,319.48
  5. Step 5: Solve for x
    x = 9,457,877,319.48/114,267
  6. Step 6: Final answer
    x = 82,769.98

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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.