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Finding the Fourth Proportional to 186,311, 257,173.98 and 110,857.88

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Solution

The fourth proportional to 186,311, 257,173.98 and 110,857.88 is: 153,022.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,311 : 257,173.98 = 110,857.88 : x
  2. Step 2: Convert to fraction form
    186,311/257,173.98 = 110,857.88/x
  3. Step 3: Cross multiply
    186,311x = 257,173.98 × 110,857.88
  4. Step 4: Simplify right side
    186,311x = 28,509,762,213.96
  5. Step 5: Solve for x
    x = 28,509,762,213.96/186,311
  6. Step 6: Final answer
    x = 153,022.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.