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Finding the Fourth Proportional to 186,314.50, 257,178.81 and 110,861.38

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Solution

The fourth proportional to 186,314.50, 257,178.81 and 110,861.38 is: 153,027.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,314.50 : 257,178.81 = 110,861.38 : x
  2. Step 2: Convert to fraction form
    186,314.50/257,178.81 = 110,861.38/x
  3. Step 3: Cross multiply
    186,314.50x = 257,178.81 × 110,861.38
  4. Step 4: Simplify right side
    186,314.50x = 28,511,197,783.36
  5. Step 5: Solve for x
    x = 28,511,197,783.36/186,314.50
  6. Step 6: Final answer
    x = 153,027.26

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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.